{"id":306222,"date":"2024-01-13T15:59:15","date_gmt":"2024-01-13T08:59:15","guid":{"rendered":"https:\/\/hoanghamobile.com\/tin-tuc\/?p=306222"},"modified":"2024-01-13T15:59:15","modified_gmt":"2024-01-13T08:59:15","slug":"dien-tich-hinh-quat","status":"publish","type":"post","link":"https:\/\/hoanghamobile.com\/tin-tuc\/dien-tich-hinh-quat\/","title":{"rendered":"C\u00f4ng th\u1ee9c t\u00ednh di\u1ec7n t\u00edch h\u00ecnh qu\u1ea1t tr\u00f2n"},"content":{"rendered":"<p><span style=\"font-weight: 400;\">Hi\u1ec7n nay c\u00f3 kh\u00e1 nhi\u1ec1u b\u1ea1n h\u1ecdc sinh ch\u01b0a bi\u1ebft c\u00e1ch t\u00ednh di\u1ec7n t\u00edch h\u00ecnh qu\u1ea1t tr\u00f2n v\u00ec ch\u01b0a n\u1eafm r\u00f5 c\u00f4ng th\u1ee9c c\u1ee7a n\u00f3. \u0110\u00e2y l\u00e0 ki\u1ebfn th\u1ee9c gi\u00fap c\u00e1c b\u1ea1n h\u1ecdc sinh c\u00f3 th\u1ec3 h\u1ecdc t\u1ed1t m\u00f4n h\u00ecnh h\u1ecdc \u1edf l\u1edbp. V\u00ec v\u1eady \u1edf b\u00e0i vi\u1ebft sau s\u1ebd chia s\u1ebb c\u00f4ng th\u1ee9c t\u00ednh di\u1ec7n t\u00edch c\u1ee7a h\u00ecnh qu\u1ea1t tr\u00f2n cho c\u00e1c b\u1ea1n t\u00ecm hi\u1ec3u v\u00e0 \u00e1p d\u1ee5ng v\u00e0o nh\u1eefng d\u1ea1ng b\u00e0i t\u1eadp ph\u1ed5 bi\u1ebfn hi\u1ec7n nay.<\/span><\/p>\n<h2><span style=\"font-weight: 400;\">Di\u1ec7n t\u00edch c\u1ee7a h\u00ecnh tr\u00f2n \u0111\u01b0\u1ee3c t\u00ednh b\u1eb1ng c\u00f4ng th\u1ee9c n\u00e0o?<\/span><\/h2>\n<p><span style=\"font-weight: 400;\">Tr\u01b0\u1edbc khi t\u00ecm hi\u1ec3u c\u00f4ng th\u1ee9c t\u00ednh di\u1ec7n t\u00edch h\u00ecnh qu\u1ea1t tr\u00f2n th\u00ec ch\u00fang ta ph\u1ea3i t\u00ecm hi\u1ec3u v\u1ec1 h\u00ecnh tr\u00f2n v\u00e0 c\u00e1ch t\u00ednh di\u1ec7n t\u00edch c\u1ee7a h\u00ecnh n\u00e0y. Di\u1ec7n t\u00edch c\u1ee7a h\u00ecnh tr\u00f2n (S) th\u01b0\u1eddng l\u00e0 ph\u1ea7n n\u1eb1m \u1edf b\u00ean trong c\u1ee7a m\u1ed9t \u0111\u01b0\u1eddng tr\u00f2n. Vi\u1ec7c t\u00ecm hi\u1ec3u c\u00e1ch t\u00ednh S c\u1ee7a h\u00ecnh tr\u00f2n xu\u1ea5t ph\u00e1t t\u1eeb th\u1eddi c\u1ed5 \u0111\u1ea1i v\u00e0 do ng\u01b0\u1eddi \u1edf Hy L\u1ea1p nghi\u00ean c\u1ee9u ra v\u00e0o tr\u01b0\u1edbc C\u00f4ng Nguy\u00ean.<\/span><\/p>\n<p><img fetchpriority=\"high\" decoding=\"async\" class=\"size-full wp-image-306224 aligncenter\" src=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2024\/01\/dien-tich-hinh-quat-1.jpg\" alt=\"dien-tich-hinh-quat-1\" width=\"800\" height=\"450\" srcset=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2024\/01\/dien-tich-hinh-quat-1.jpg 800w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2024\/01\/dien-tich-hinh-quat-1-300x169.jpg 300w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2024\/01\/dien-tich-hinh-quat-1-768x432.jpg 768w\" sizes=\"(max-width: 800px) 100vw, 800px\" \/><\/p>\n<p><span style=\"font-weight: 400;\">C\u00e1c nh\u00e0 to\u00e1n h\u1ecdc \u1edf Hy L\u1ea1p \u0111\u00e3 nh\u1eadn th\u1ee9c ra S c\u1ee7a h\u00ecnh tr\u00f2n c\u00f3 quan h\u1ec7 v\u1edbi \u0111\u1ed9 d\u00e0i b\u00e1n k\u00ednh b\u00ecnh ph\u01b0\u01a1ng l\u00ean. T\u1ee9c l\u00e0 khi m\u1ecdi ng\u01b0\u1eddi \u0111\u00e3 bi\u1ebft \u0111\u1ed9 d\u00e0i b\u00e1n k\u00ednh trong 1 h\u00ecnh trong th\u00ec m\u1ecdi ng\u01b0\u1eddi s\u1ebd t\u00ednh \u0111\u01b0\u1ee3c S c\u1ee7a n\u00f3 b\u1eb1ng vi\u1ec7c d\u00f9ng 1 c\u00f4ng th\u1ee9c nh\u01b0 sau:<\/span><\/p>\n<p><strong>S = \u03c0 x R^2 (\u0111\u01a1n v\u1ecb \u0111o l\u01b0\u1eddng di\u1ec7n t\u00edch)<\/strong><\/p>\n<h2><span style=\"font-weight: 400;\">Di\u1ec7n t\u00edch h\u00ecnh qu\u1ea1t \u0111\u01b0\u1ee3c t\u00ednh b\u1eb1ng c\u00f4ng th\u1ee9c n\u00e0o?<\/span><\/h2>\n<p><span style=\"font-weight: 400;\">Khi \u0111\u00e3 t\u00ecm hi\u1ec3u \u0111\u01b0\u1ee3c c\u00e1ch t\u00ednh S c\u1ee7a h\u00ecnh tr\u00f2n th\u00ec b\u1ea1n s\u1ebd th\u1ea5y n\u00f3 c\u00f3 m\u1ed1i li\u00ean h\u1ec7 v\u1edbi h\u00ecnh qu\u1ea1t tr\u00f2n qua nh\u1eefng th\u00f4ng tin sau \u0111\u00e2y:<\/span><\/p>\n<h3><span style=\"font-weight: 400;\">H\u00ecnh qu\u1ea1t tr\u00f2n l\u00e0 g\u00ec?<\/span><\/h3>\n<p><span style=\"font-weight: 400;\">Di\u1ec7n t\u00edch (S) c\u1ee7a 1 h\u00ecnh qu\u1ea1t l\u00e0 m\u1ed9t \u0111\u1ecbnh ngh\u0129a kh\u00e1 quan tr\u1ecdng trong to\u00e1n h\u1ecdc v\u00e0 h\u00ecnh h\u1ecdc. \u0110\u1ec3 t\u00ecm hi\u1ec3u r\u00f5 h\u01a1n v\u1ec1 di\u1ec7n t\u00edch c\u1ee7a h\u00ecnh n\u00e0y th\u00ec c\u00e1c b\u1ea1n h\u00e3y li\u00ean t\u01b0\u1edfng \u0111\u1ebfn 1 h\u00ecnh tr\u00f2n \u1edf trong 1 m\u1eb7t ph\u1eb3ng. \u1ede b\u00ean trong h\u00ecnh tr\u00f2n n\u00e0y c\u00f3 1 t\u00e2m v\u00e0 1 \u0111\u01b0\u1eddng vi\u1ec1n. \u0110\u1ec3 t\u1ea1o \u0111\u01b0\u1ee3c 1 h\u00ecnh qu\u1ea1t tr\u00f2n th\u00ec c\u00e1c b\u1ea1n ch\u1ec9 c\u1ea7n ch\u1ecdn ra 2 \u0111i\u1ec3m ng\u1eabu nhi\u00ean t\u1ea1i \u0111\u01b0\u1eddng vi\u1ec1n h\u00ecnh trong v\u00e0 n\u1ed1i n\u00f3 v\u1edbi t\u00e2m h\u00ecnh tr\u00f2n.<\/span><\/p>\n<h3><span style=\"font-weight: 400;\">C\u00f4ng th\u1ee9c d\u00f9ng \u0111\u1ec3 t\u00ednh S h\u00ecnh qu\u1ea1t<\/span><\/h3>\n<p><span style=\"font-weight: 400;\">Nh\u01b0 v\u1eady, S c\u1ee7a h\u00ecnh tr\u00f2n \u0111\u01b0\u1ee3c t\u1ea1o b\u1edfi 2 tia tr\u00ean ch\u00ednh l\u00e0 S c\u1ee7a 1 h\u00ecnh qu\u1ea1t tr\u00f2n. \u0110\u1ec3 t\u00ednh \u0111\u01b0\u1ee3c S n\u00e0y th\u00ec c\u00e1c b\u1ea1n h\u00e3y d\u00f9ng g\u00f3c \u1edf gi\u1eefa 2 tia kh\u1edfi \u0111\u1ea7u, k\u1ebft th\u00fac. G\u00f3c \u0111\u01b0\u1ee3c t\u1ea1o ra s\u1ebd \u0111o l\u01b0\u1eddng b\u1eb1ng \u0111\u01a1n v\u1ecb \u0111\u1ed9 v\u00e0 \u0111\u00e2y l\u00e0 nh\u00e2n t\u1ed1 mang t\u00ednh quy\u1ebft \u0111\u1ecbnh \u0111\u1ebfn S c\u1ee7a qu\u1ea1t tr\u00f2n. \u0110i\u1ec3m quan tr\u1ecdng nh\u1ea5t l\u00e0 S c\u1ee7a qu\u1ea1t tr\u00f2n ch\u00ednh l\u00e0 1 ph\u1ea7n S thu\u1ed9c h\u00ecnh tr\u00f2n ho\u00e0n h\u1ea3o v\u00e0 ch\u1ee9a hai tia t\u1ea1o n\u00ean h\u00ecnh qu\u1ea1t.<\/span><\/p>\n<p><span style=\"font-weight: 400;\">\u0110\u1ec3 t\u00ednh S h\u00ecnh qu\u1ea1t th\u00ec ch\u00fang ta c\u1ea7n l\u1ea5y t\u1ec9 l\u1ec7 c\u1ee7a g\u00f3c t\u1ea1o b\u1edfi 2 tia \u0111em nh\u00e2n v\u1edbi di\u1ec7n t\u00edch to\u00e0n ph\u1ea7n c\u1ee7a h\u00ecnh tr\u00f2n. C\u00f4ng th\u1ee9c t\u00ednh di\u1ec7n t\u00edch h\u00ecnh qu\u1ea1t hi\u1ec7n nay \u0111\u01b0\u1ee3c \u00e1p d\u1ee5ng v\u00e0o nhi\u1ec1u l\u0129nh v\u1ef1c trong th\u1ef1c t\u1ebf, t\u1eeb \u0111\u1ecba l\u00fd, khoa h\u1ecdc t\u1ef1 nhi\u00ean t\u1edbi k\u1ef9 thu\u1eadt. Sau \u0111\u00e2y l\u00e0 c\u00f4ng th\u1ee9c c\u1ee5 th\u1ec3 \u0111\u1ec3 t\u00ednh S c\u1ee7a h\u00ecnh qu\u1ea1t g\u1ed3m b\u00e1n k\u00ednh l\u00e0 R:<\/span><\/p>\n<p><img decoding=\"async\" class=\"size-full wp-image-306225 aligncenter\" src=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2024\/01\/dien-tich-hinh-quat-2.jpg\" alt=\"dien-tich-hinh-quat-2\" width=\"800\" height=\"450\" srcset=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2024\/01\/dien-tich-hinh-quat-2.jpg 800w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2024\/01\/dien-tich-hinh-quat-2-300x169.jpg 300w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2024\/01\/dien-tich-hinh-quat-2-768x432.jpg 768w\" sizes=\"(max-width: 800px) 100vw, 800px\" \/><\/p>\n<p><span style=\"font-weight: 400;\">Trong \u0111\u00f3 c\u00f3:<\/span><\/p>\n<ul>\n<li style=\"font-weight: 400;\"><span style=\"font-weight: 400;\">l l\u00e0 chi\u1ec1u d\u00e0i cung n\u00b0 thu\u1ed9c h\u00ecnh qu\u1ea1t.<\/span><\/li>\n<li style=\"font-weight: 400;\"><span style=\"font-weight: 400;\">n\u00b0: s\u1ed1 \u0111o \u0111\u1ed9 c\u1ee7a cung<\/span><\/li>\n<li style=\"font-weight: 400;\"><span style=\"font-weight: 400;\">\u03c0: h\u1eb1ng s\u1ed1 x\u1ea5p x\u1ec9 3,14<\/span><\/li>\n<li style=\"font-weight: 400;\"><span style=\"font-weight: 400;\">R: b\u00e1n k\u00ednh \u0111\u01b0\u1eddng tr\u00f2n.<\/span><\/li>\n<\/ul>\n<h2><span style=\"font-weight: 400;\">T\u1ed5ng h\u1ee3p nh\u1eefng b\u00e0i t\u1eadp tr\u1eafc nghi\u1ec7m v\u1ec1 di\u1ec7n t\u00edch h\u00ecnh qu\u1ea1t<\/span><\/h2>\n<p><span style=\"font-weight: 400;\">\u0110\u1ec3 \u00e1p d\u1ee5ng ki\u1ebfn th\u1ee9c v\u1ec1 c\u00e1ch t\u00ednh S c\u1ee7a h\u00ecnh qu\u1ea1t \u1edf tr\u00ean th\u00ec c\u00e1c b\u1ea1n h\u00e3y theo d\u00f5i nh\u1eefng b\u00e0i t\u1eadp tr\u1eafc nghi\u1ec7m nh\u01b0 sau:<\/span><\/p>\n<p><span style=\"font-weight: 400;\">B\u00e0i 1: 1 h\u00ecnh trong c\u00f3 S l\u00e0 225<\/span><span style=\"font-weight: 400;\">\u03c0 cm2. V\u1eady \u0111\u1ed9 d\u00e0i R thu\u1ed9c h\u00ecnh tr\u00f2n n\u00e0y b\u1eb1ng bao nhi\u00eau?<\/span><\/p>\n<ul>\n<li style=\"font-weight: 400;\"><span style=\"font-weight: 400;\">A. 15 cm<\/span><\/li>\n<li style=\"font-weight: 400;\"><span style=\"font-weight: 400;\">B. 16 cm<\/span><\/li>\n<li style=\"font-weight: 400;\"><span style=\"font-weight: 400;\">C. 12 cm<\/span><\/li>\n<li style=\"font-weight: 400;\"><span style=\"font-weight: 400;\">D. 14 cm<\/span><\/li>\n<\/ul>\n<p><span style=\"font-weight: 400;\">\u0110\u00e1p \u00e1n:\u00a0<\/span><\/p>\n<p><span style=\"font-weight: 400;\">Ta c\u00f3 S = R^2 x \u03c0 = 225. Suy ra R^2 = 225 v\u00e0 suy ra \u0111\u1ed9 d\u00e0i R l\u00e0 15cm.<\/span><\/p>\n<p><span style=\"font-weight: 400;\">B\u00e0i 2: H\u00e3y t\u00ednh di\u1ec7n t\u00edch c\u1ee7a h\u00ecnh tr\u00f2n c\u00f3 b\u00e1n k\u00ednh l\u00e0 R = 10cm?<\/span><\/p>\n<ul>\n<li style=\"font-weight: 400;\"><span style=\"font-weight: 400;\">A. 100\u03c0 cm\u00b2<\/span><\/li>\n<li style=\"font-weight: 400;\"><span style=\"font-weight: 400;\">B. 10\u03c0 cm\u00b2<\/span><\/li>\n<li style=\"font-weight: 400;\"><span style=\"font-weight: 400;\">C. 20\u03c0 cm\u00b2<\/span><\/li>\n<li style=\"font-weight: 400;\"><span style=\"font-weight: 400;\">D. 100\u03c0\u00b2 cm\u00b2<\/span><\/li>\n<\/ul>\n<p><span style=\"font-weight: 400;\">\u0110\u00e1p \u00e1n:<\/span><\/p>\n<p><span style=\"font-weight: 400;\">S = \u03c0 X r^2 = 100\u03c0 (cm2)<\/span><\/p>\n<p><img decoding=\"async\" class=\"size-full wp-image-306226 aligncenter\" src=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2024\/01\/dien-tich-hinh-quat-3.jpg\" alt=\"dien-tich-hinh-quat-3\" width=\"800\" height=\"450\" srcset=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2024\/01\/dien-tich-hinh-quat-3.jpg 800w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2024\/01\/dien-tich-hinh-quat-3-300x169.jpg 300w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2024\/01\/dien-tich-hinh-quat-3-768x432.jpg 768w\" sizes=\"(max-width: 800px) 100vw, 800px\" \/><\/p>\n<p><span style=\"font-weight: 400;\">B\u00e0i 3: Cho 1 \u0111\u01b0\u1eddng tr\u00f2n c\u00f3 t\u00e2m 0 v\u1edbi b\u00e1n k\u00ednh l\u00e0 10cm, \u0111\u01b0\u1eddng k\u00ednh l\u00e0 AB. L\u1ea5y \u0111i\u1ec3m M thu\u1ed9c \u0111\u01b0\u1eddng tr\u00f2n t\u00e2m O sao cho g\u00f3c t\u00ean BAM b\u1eb1ng 45 \u0111\u1ed9. B\u1ea1n h\u00e3y t\u00ednh S c\u1ee7a h\u00ecnh qu\u1ea1t t\u00ean AOM.<\/span><\/p>\n<ul>\n<li style=\"font-weight: 400;\"><span style=\"font-weight: 400;\">A. 5\u03c0 (cm\u00b2)<\/span><\/li>\n<li style=\"font-weight: 400;\"><span style=\"font-weight: 400;\">B. 25\u03c0 (cm\u00b2)<\/span><\/li>\n<li style=\"font-weight: 400;\"><span style=\"font-weight: 400;\">C. 50\u03c0 (cm\u00b2)<\/span><\/li>\n<li style=\"font-weight: 400;\"><span style=\"font-weight: 400;\">D. 25\/2\u03c0 (cm\u00b2)<\/span><\/li>\n<\/ul>\n<p><span style=\"font-weight: 400;\">\u0110\u00e1p \u00e1n:<\/span><\/p>\n<p><span style=\"font-weight: 400;\">Ch\u00fang ta c\u00f3 \u0111\u01b0\u1eddng tr\u00f2n t\u00e2m O v\u00e0 b\u00e1n k\u00ednh b\u1eb1ng 10cm:<\/span><\/p>\n<ul>\n<li style=\"font-weight: 400;\"><span style=\"font-weight: 400;\">OA = OM<\/span><\/li>\n<li style=\"font-weight: 400;\"><span style=\"font-weight: 400;\">G\u00f3c t\u00ean MOA b\u1eb1ng 45 \u0111\u1ed9<\/span><\/li>\n<\/ul>\n<p><span style=\"font-weight: 400;\">Suy ra tam gi\u00e1c AMO l\u00e0 m\u1ed9t tam gi\u00e1c vu\u00f4ng v\u00e0 v\u00e2n \u2192 G\u00f3c t\u00ean MOA b\u1eb1ng 90 \u0111\u1ed9.<\/span><\/p>\n<p><span style=\"font-weight: 400;\">V\u1eady th\u00ec ta s\u1ebd t\u00ednh \u0111\u01b0\u1ee3c S c\u1ee7a h\u00ecnh qu\u1ea1t t\u00ean AOM l\u00e0:<\/span><\/p>\n<p><span style=\"font-weight: 400;\">S = (\u03c0 x R\u00b2 x n\u00b0)\/360\u00a0<\/span><\/p>\n<p><span style=\"font-weight: 400;\">= (\u03c0 x 10^2 x 90)\/360\u00a0<\/span><\/p>\n<p><span style=\"font-weight: 400;\">= 25\u03c0 (cm\u00b2)<\/span><\/p>\n<h2><span style=\"font-weight: 400;\">T\u1ed5ng h\u1ee3p c\u00e1c b\u00e0i t\u1eadp t\u1ef1 lu\u1eadn v\u1ec1 t\u00ednh di\u1ec7n t\u00edch h\u00ecnh qu\u1ea1t tr\u00f2n\u00a0<\/span><\/h2>\n<p><span style=\"font-weight: 400;\">Ngo\u00e0i nh\u1eefng b\u00e0i t\u1eadp tr\u1eafc nghi\u1ec7m \u0111\u01a1n gi\u1ea3n \u1edf tr\u00ean th\u00ec c\u00e1c b\u1ea1n c\u00f3 th\u1ec3 tham kh\u1ea3o th\u00eam m\u1ed9t s\u1ed1 b\u00e0i t\u1eadp t\u1ef1 lu\u1eadn v\u1ec1 c\u00e1ch t\u00ednh di\u1ec7n t\u00edch c\u1ee7a h\u00ecnh qu\u1ea1t nh\u01b0 sau:<\/span><\/p>\n<h3><span style=\"font-weight: 400;\">B\u00e0i 1<\/span><\/h3>\n<p><span style=\"font-weight: 400;\">Cho 1 h\u00ecnh tr\u00f2n c\u00f3 t\u00e2m O v\u1edbi \u0111\u1ed9 d\u00e0i \u0111\u01b0\u1eddng k\u00ednh t\u00ean AB l\u00e0 3\u221a3. Cho \u0111i\u1ec3m C thu\u1ed9c \u0111\u01b0\u1eddng tr\u00f2n v\u00e0 t\u1ea1o ra g\u00f3c t\u00ean ABC b\u1eb1ng 60 \u0111\u1ed9. H\u00e3y t\u00ednh S h\u00ecnh vi\u00ean ph\u00e2n BC (Khu v\u1ef1c h\u00ecnh tr\u00f2n \u0111\u01b0\u1ee3c gi\u1edbi h\u1ea1n t\u1eeb 1 cung tr\u00f2n c\u00f9ng 1 d\u00e2y c\u0103ng cung).<\/span><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"size-full wp-image-306227 aligncenter\" src=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2024\/01\/dien-tich-hinh-quat-4.jpg\" alt=\"dien-tich-hinh-quat-4\" width=\"800\" height=\"450\" srcset=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2024\/01\/dien-tich-hinh-quat-4.jpg 800w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2024\/01\/dien-tich-hinh-quat-4-300x169.jpg 300w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2024\/01\/dien-tich-hinh-quat-4-768x432.jpg 768w\" sizes=\"(max-width: 800px) 100vw, 800px\" \/><\/p>\n<p><span style=\"font-weight: 400;\">\u0110\u00e1p \u00e1n:<\/span><\/p>\n<p><span style=\"font-weight: 400;\">X\u00e9t m\u1ed9t \u0111\u01b0\u1eddng tr\u00f2n t\u00e2m O c\u00f3 g\u00f3c t\u00ean ACB b\u1eb1ng 90 \u0111\u1ed9.<\/span><\/p>\n<p><span style=\"font-weight: 400;\">Suy ra g\u00f3c t\u00ean CAB = 90 \u0111\u1ed9 &#8211; g\u00f3c t\u00ean CBA = 60 \u0111\u1ed9 (Tam gi\u00e1c t\u00ean ABC c\u00f3 g\u00f3c vu\u00f4ng \u1edf C)<\/span><\/p>\n<p><span style=\"font-weight: 400;\">G\u00f3c BOC v\u00e0 g\u00f3c CAB l\u00e0 hai g\u00f3c n\u1ed9i ti\u1ebfp v\u00e0 l\u00e0 g\u00f3c t\u1ea1i t\u00e2m c\u00f9ng ch\u1eafn cung.<\/span><\/p>\n<p><span style=\"font-weight: 400;\">Suy ra g\u00f3c BOC g\u1ea5p hai l\u1ea7n g\u00f3c t\u00ean CAB = 2 x 30 \u0111\u1ed9 = 60 \u0111\u1ed9.<\/span><\/p>\n<p><span style=\"font-weight: 400;\">V\u1eady S h\u00ecnh qu\u1ea1t t\u00ean AOC l\u00e0: S = (\u03c0 x R^2 x 60)\/360 =\u00a0 \u03c0 x R^2\/6<\/span><\/p>\n<p><span style=\"font-weight: 400;\">Ta ti\u1ebfp t\u1ee5c x\u00e9t tam gi\u00e1c t\u00ean AOC v\u00e0 \u0111\u01b0\u1ee3c:<\/span><\/p>\n<ul>\n<li style=\"font-weight: 400;\"><span style=\"font-weight: 400;\">G\u00f3c t\u00ean BOC b\u1eb1ng 60 \u0111\u1ed9<\/span><\/li>\n<li style=\"font-weight: 400;\"><span style=\"font-weight: 400;\">OC = OA = R<\/span><\/li>\n<\/ul>\n<p><span style=\"font-weight: 400;\">Suy ra tam gi\u00e1c t\u00ean BOC \u0111\u1ec1u c\u00f3 c\u00e1c c\u1ea1nh l\u00e0 R.<\/span><\/p>\n<p><span style=\"font-weight: 400;\">Ta g\u1ecdi \u0111o\u1ea1n \u0111\u01b0\u1eddng cao thu\u1ed9c tam gi\u00e1c t\u00ean AOC l\u00e0 H v\u00e0 ta \u0111\u01b0\u1ee3c:<\/span><\/p>\n<p><span style=\"font-weight: 400;\">CH = CO x sin g\u00f3c 60 \u0111\u1ed9 = \u221a3R\/2<\/span><\/p>\n<p><span style=\"font-weight: 400;\">Suy ra S c\u1ee7a tam gi\u00e1c t\u00ean AOC = 1\/2 x CH x OA = \u221a3R^2\/4<\/span><\/p>\n<p><span style=\"font-weight: 400;\">Nh\u01b0 v\u1eady, S c\u1ee7a h\u00ecnh vi\u00ean ph\u00e2n BC s\u1ebd b\u1eb1ng di\u1ec7n t\u00edch h\u00ecnh qu\u1ea1t t\u00ean AOC &#8211; S c\u1ee7a h\u00ecnh tam gi\u00e1c t\u00ean BOC:<\/span><\/p>\n<p><span style=\"font-weight: 400;\">\u21d4 \u03c0 x R^2\/6 \u2013 \u221a3R^2\/4 = (18\u03c0 &#8211; 27\u221a3)\/16 (cm\u00b2)<\/span><\/p>\n<h3><span style=\"font-weight: 400;\">B\u00e0i 2<\/span><\/h3>\n<p><span style=\"font-weight: 400;\">H\u00e3y t\u00ednh to\u00e1n v\u00e0 \u0111i\u1ec1n k\u1ebft qu\u1ea3 v\u00e0o trong b\u1ea3ng nh\u01b0 sau:<\/span><\/p>\n<table>\n<tbody>\n<tr>\n<td><span style=\"font-weight: 400;\">R c\u1ee7a \u0111\u01b0\u1eddng tr\u00f2n<\/span><\/td>\n<td><span style=\"font-weight: 400;\">\u0110\u1ed9 d\u00e0i c\u1ee7a \u0111\u01b0\u1eddng tr\u00f2n<\/span><\/td>\n<td><span style=\"font-weight: 400;\">S h\u00ecnh tr\u00f2n<\/span><\/td>\n<td><span style=\"font-weight: 400;\">S\u1ed1 \u0111o cung tr\u00f2n<\/span><\/td>\n<td><span style=\"font-weight: 400;\">S h\u00ecnh qu\u1ea1t\u00a0<\/span><\/td>\n<\/tr>\n<tr>\n<td><\/td>\n<td><span style=\"font-weight: 400;\">12cm<\/span><\/td>\n<td><\/td>\n<td><span style=\"font-weight: 400;\">45 \u0111\u1ed9<\/span><\/td>\n<td><\/td>\n<\/tr>\n<tr>\n<td><span style=\"font-weight: 400;\">2cm<\/span><\/td>\n<td><\/td>\n<td><\/td>\n<td><\/td>\n<td><span style=\"font-weight: 400;\">10.5cm2<\/span><\/td>\n<\/tr>\n<tr>\n<td><\/td>\n<td><\/td>\n<td><span style=\"font-weight: 400;\">40cm2<\/span><\/td>\n<td><\/td>\n<td><span style=\"font-weight: 400;\">10cm2<\/span><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p><span style=\"font-weight: 400;\">\u0110\u00e1p \u00e1n:<\/span><\/p>\n<p><span style=\"font-weight: 400;\">Ta c\u00f3 \u0111\u1ed9 d\u00e0i c\u1ee7a \u0111\u01b0\u1eddng tr\u00f2n = 12cm n\u00ean suy ra C b\u1eb1ng 12cm. V\u1eady th\u00ec R c\u1ee7a \u0111\u01b0\u1eddng tr\u00f2n b\u1eb1ng: R = C\/ 2\u03c0 = 12\/2\u03c0 = 1.91cm.<\/span><\/p>\n<p><span style=\"font-weight: 400;\">V\u1eady th\u00ec S c\u1ee7a h\u00ecnh tr\u00f2n v\u1edbi R = 1.91cm l\u00e0: S = R^2 x \u03c0 = 1.91^2 x \u03c0 = 11.46 cm2.<\/span><\/p>\n<p><span style=\"font-weight: 400;\">Suy ra S c\u1ee7a h\u00ecnh qu\u1ea1t c\u00f3 cung 45 \u0111\u1ed9 l\u00e0: S\u2019 = (\u03c0 x R^2 x n)\/360 = (\u03c0 x 1.91^2 x 45)\/ 360 = 1.43cm2.<\/span><\/p>\n<p><span style=\"font-weight: 400;\">V\u00ec b\u00e1n k\u00ednh c\u1ee7a \u0111\u01b0\u1eddng tr\u00f2n b\u1eb1ng 2cm n\u00ean ta c\u00f3 \u0111\u1ed9 d\u00e0i c\u1ee7a \u0111\u01b0\u1eddng tr\u00f2n = C = 2\u03c0xR = 2\u03c0 x R = 2\u03c0 x 2 = 12,57cm.<\/span><\/p>\n<p><span style=\"font-weight: 400;\">V\u1eady th\u00ec S c\u1ee7a h\u00ecnh tr\u00f2n \u0111\u01b0\u1ee3c t\u00ednh b\u1eb1ng S = R^2 x \u03c0 = 2^2 x \u03c0 = 12.57cm2.<\/span><\/p>\n<p><span style=\"font-weight: 400;\">V\u00ec di\u1ec7n t\u00edch h\u00ecnh qu\u1ea1t = 10.5cm2 n\u00ean suy ra s\u1ed1 \u0111o cung tr\u00f2n b\u1eb1ng n = (360 x S\u2019)\/ (\u03c0 x R^2) = (360 x 10.5)\/ 12.57 = 300 \u0111\u1ed9.<\/span><\/p>\n<p><span style=\"font-weight: 400;\">V\u00ec S c\u1ee7a h\u00ecnh tr\u00f2n b\u1eb1ng 40cm2 n\u00ean suy ra R c\u1ee7a \u0111\u01b0\u1eddng tr\u00f2n b\u1eb1ng R = \u221aS\/R = \u221a40\/\u03c0 = 3.57cm.<\/span><\/p>\n<p><span style=\"font-weight: 400;\">V\u1eady ta c\u00f3 chu vi c\u1ee7a cung tr\u00f2n l\u00e0 C = 2\u03c0 x R = 2\u03c0 x 3.57 = 22.42cm.<\/span><\/p>\n<p><span style=\"font-weight: 400;\">V\u00ec ta c\u00f3 S c\u1ee7a h\u00ecnh qu\u1ea1t = 1\/4 S c\u1ee7a h\u00ecnh tr\u00f2n n\u00ean ta c\u00f3 s\u1ed1 \u0111o c\u1ee7a cung tr\u00f2n b\u1eb1ng 90 \u0111\u1ed9.<\/span><\/p>\n<p><span style=\"font-weight: 400;\">Nh\u01b0 v\u1eady ta s\u1ebd \u0111i\u1ec1n v\u00e0o b\u1ea3ng tr\u00ean c\u00e1c k\u1ebft qu\u1ea3 nh\u01b0 sau:<\/span><\/p>\n<table>\n<tbody>\n<tr>\n<td><span style=\"font-weight: 400;\">R c\u1ee7a \u0111\u01b0\u1eddng tr\u00f2n<\/span><\/td>\n<td><span style=\"font-weight: 400;\">\u0110\u1ed9 d\u00e0i c\u1ee7a \u0111\u01b0\u1eddng tr\u00f2n<\/span><\/td>\n<td><span style=\"font-weight: 400;\">S h\u00ecnh tr\u00f2n<\/span><\/td>\n<td><span style=\"font-weight: 400;\">S\u1ed1 \u0111o cung tr\u00f2n<\/span><\/td>\n<td><span style=\"font-weight: 400;\">Di\u1ec7n t\u00edch h\u00ecnh qu\u1ea1t\u00a0<\/span><\/td>\n<\/tr>\n<tr>\n<td><span style=\"font-weight: 400;\">1.91cm<\/span><\/td>\n<td><span style=\"font-weight: 400;\">12cm<\/span><\/td>\n<td><span style=\"font-weight: 400;\">11.46cm2<\/span><\/td>\n<td><span style=\"font-weight: 400;\">45 \u0111\u1ed9<\/span><\/td>\n<td><span style=\"font-weight: 400;\">1.43cm2<\/span><\/td>\n<\/tr>\n<tr>\n<td><span style=\"font-weight: 400;\">2cm<\/span><\/td>\n<td><span style=\"font-weight: 400;\">12.57cm<\/span><\/td>\n<td><span style=\"font-weight: 400;\">12.57cm2<\/span><\/td>\n<td><span style=\"font-weight: 400;\">300 \u0111\u1ed9<\/span><\/td>\n<td><span style=\"font-weight: 400;\">10.5cm2<\/span><\/td>\n<\/tr>\n<tr>\n<td><span style=\"font-weight: 400;\">3.57cm<\/span><\/td>\n<td><span style=\"font-weight: 400;\">22.42cm<\/span><\/td>\n<td><span style=\"font-weight: 400;\">40cm2<\/span><\/td>\n<td><span style=\"font-weight: 400;\">90 \u0111\u1ed9<\/span><\/td>\n<td><span style=\"font-weight: 400;\">10cm2<\/span><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<h3><span style=\"font-weight: 400;\">B\u00e0i 3<\/span><\/h3>\n<p><span style=\"font-weight: 400;\">Cho 1 h\u00ecnh vu\u00f4ng c\u00f3 \u0111\u1ed9 d\u00e0i c\u00e1c c\u1ea1nh \u0111\u1ec1u b\u1eb1ng 5cm v\u00e0 n\u1ed9i ti\u1ebfp 1 \u0111\u01b0\u1eddng tr\u00f2n t\u00e2m O. B\u1ea1n h\u00e3y t\u00ednh to\u00e1n \u0111\u1ed9 d\u00e0i c\u1ee7a \u0111\u01b0\u1eddng tr\u00f2n t\u00e2m O v\u00e0 t\u00ednh S c\u1ee7a h\u00ecnh tr\u00f2n n\u00e0y?<\/span><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"size-full wp-image-306228 aligncenter\" src=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2024\/01\/dien-tich-hinh-quat-5.jpg\" alt=\"dien-tich-hinh-quat-5\" width=\"800\" height=\"450\" srcset=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2024\/01\/dien-tich-hinh-quat-5.jpg 800w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2024\/01\/dien-tich-hinh-quat-5-300x169.jpg 300w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2024\/01\/dien-tich-hinh-quat-5-768x432.jpg 768w\" sizes=\"(max-width: 800px) 100vw, 800px\" \/><\/p>\n<p><span style=\"font-weight: 400;\">\u0110\u00e1p \u00e1n:<\/span><\/p>\n<p><span style=\"font-weight: 400;\">G\u1ecdi h\u00ecnh vu\u00f4ng \u1edf tr\u00ean c\u00f3 t\u00ean l\u00e0 ABCD, ta c\u00f3:\u00a0<\/span><\/p>\n<p><span style=\"font-weight: 400;\">OD = OC = OB = OA = R. Suy ra \u0111i\u1ec3m O ch\u00ednh l\u00e0 m\u1ed9t giao \u0111i\u1ec3m c\u1ee7a \u0111o\u1ea1n AC v\u1edbi \u0111o\u1ea1n BD. T\u1eeb \u0111\u00f3 suy ra R = AC\/2<\/span><\/p>\n<p><span style=\"font-weight: 400;\">X\u00e9t m\u1ed9t tam gi\u00e1c t\u00ean ABC vu\u00f4ng \u1edf B, ta c\u00f3:<\/span><\/p>\n<p><span style=\"font-weight: 400;\">AC^2 = AB^2 + BC^2 (Pitago)<\/span><\/p>\n<p><span style=\"font-weight: 400;\">AC^2 = 5^2 + 5^2<\/span><\/p>\n<p><span style=\"font-weight: 400;\">AC^2 = 25 + 25<\/span><\/p>\n<p><span style=\"font-weight: 400;\">AC^2 = 50\u00a0<\/span><\/p>\n<p><span style=\"font-weight: 400;\">\u2192 AC = 5\u221a2 cm<\/span><\/p>\n<p><span style=\"font-weight: 400;\">V\u1eady ta c\u00f3 R c\u1ee7a \u0111\u01b0\u1eddng tr\u00f2n b\u1eb1ng R = AC\/2 = (5\u221a2)\/2 (cm)<\/span><\/p>\n<p><span style=\"font-weight: 400;\">V\u1eady ta c\u00f3 C c\u1ee7a h\u00ecnh tr\u00f2n b\u1eb1ng: 2\u03c0 x R = 2 x \u03c0 x ((5\u221a2)\/2)) (cm)<\/span><\/p>\n<p><span style=\"font-weight: 400;\">V\u1eady ta c\u00f3 S c\u1ee7a h\u00ecnh tr\u00f2n n\u00e0y b\u1eb1ng: S = \u03c0 x R^2 = \u03c0 x ((5\u221a2)\/2)^2 = (25\/2)\u03c0 (cm^2)<\/span><\/p>\n<h3>B\u00e0i 4<\/h3>\n<p><span style=\"font-weight: 400;\">Cho 1 \u0111\u01b0\u1eddng tr\u00f2n c\u00f3 t\u00e2m O v\u00e0 b\u00e1n k\u00ednh R c\u00f9ng 1 \u0111i\u1ec3m M \u0111\u1ec3 OM = 2R. K\u1ec3 t\u1eeb \u0111i\u1ec3m M, h\u00e3y v\u1ebd nh\u1eefng ti\u1ebfp tuy\u1ebfn nh\u01b0 MA, MB v\u1edbi \u0111i\u1ec3m A v\u00e0 B l\u00e0 nh\u1eefng ti\u1ebfp \u0111i\u1ec3m.\u00a0<\/span><\/p>\n<ul>\n<li style=\"font-weight: 400;\"><span style=\"font-weight: 400;\">H\u00e3y t\u00ednh \u0111\u1ed9 d\u00e0i c\u1ee7a cung AB.<\/span><\/li>\n<li style=\"font-weight: 400;\"><span style=\"font-weight: 400;\">H\u00e3y t\u00ednh S \u0111\u01b0\u1ee3c gi\u1edbi h\u1ea1n b\u1edfi 2 ti\u1ebfp tuy\u1ebfn l\u00e0 BM v\u00e0 AM v\u1edbi cung AB.<\/span><\/li>\n<\/ul>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"size-full wp-image-306229 aligncenter\" src=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2024\/01\/dien-tich-hinh-quat-6.jpg\" alt=\"dien-tich-hinh-quat-6\" width=\"800\" height=\"450\" srcset=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2024\/01\/dien-tich-hinh-quat-6.jpg 800w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2024\/01\/dien-tich-hinh-quat-6-300x169.jpg 300w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2024\/01\/dien-tich-hinh-quat-6-768x432.jpg 768w\" sizes=\"(max-width: 800px) 100vw, 800px\" \/><\/p>\n<p><span style=\"font-weight: 400;\">\u0110\u00e1p \u00e1n:<\/span><\/p>\n<p>a. V\u00ec \u0111o\u1ea1n AM l\u00e0 ph\u00e2n ti\u1ebfp tuy\u1ebfn \u0111\u01b0\u1eddng tr\u00f2n c\u00f3 t\u00e2m O n\u00ean \u0111o\u1ea1n AM s\u1ebd vu\u00f4ng g\u00f3c v\u1edbi \u0111o\u1ea1n OA.<\/p>\n<p><span style=\"font-weight: 400;\">X\u00e9t 1 tam gi\u00e1c t\u00ean OAM c\u00f3 g\u00f3c vu\u00f4ng \u1edf A th\u00ec ta c\u00f3:<\/span><\/p>\n<p><span style=\"font-weight: 400;\">cos g\u00f3c AOM = OA\/OM = R\/2R = 1\/2\u00a0<\/span><\/p>\n<p><span style=\"font-weight: 400;\">Suy ra g\u00f3c AOM b\u1eb1ng 60 \u0111\u1ed9. M\u00e0 \u0111o\u1ea1n OM c\u00f2n l\u00e0 tia \u0111\u1ec3 ph\u00e2n gi\u00e1c g\u00f3c t\u00ean AOB (2 ti\u1ebfp tuy\u1ebfn khi c\u1eaft nhau).<\/span><\/p>\n<p><span style=\"font-weight: 400;\">Suy ra g\u00f3c AOB = 120 \u0111\u1ed9<\/span><\/p>\n<p><span style=\"font-weight: 400;\">V\u1eady \u0111\u1ed9 d\u00e0i c\u1ee7a cung AB = l = 9\u03c0 x R x 120)\/180 = (2\u03c0 x R)\/3 cm<\/span><\/p>\n<p>b. X\u00e9t 1 tam gi\u00e1c t\u00ean l\u00e0 OAM v\u00e0 c\u00f3 g\u00f3c vu\u00f4ng \u1edf A:<\/p>\n<p><span style=\"font-weight: 400;\">AM^2 + AO^2 = OM^2 (Pitago)<\/span><\/p>\n<p><span style=\"font-weight: 400;\">\u2192 AM^2 + R^2 = (2R)^2<\/span><\/p>\n<p><span style=\"font-weight: 400;\">\u2192 AM^2 = 4 x R^2 &#8211; R^2<\/span><\/p>\n<p><span style=\"font-weight: 400;\">\u2192 AM = \u221a3x R<\/span><\/p>\n<p><span style=\"font-weight: 400;\">V\u1eady S c\u1ee7a tam gi\u00e1c t\u00ean OAM s\u1ebd b\u1eb1ng:<\/span><\/p>\n<p><span style=\"font-weight: 400;\">S = 1\/2 AM x AO = 1\/2 x R x \u221a3R = (\u221a3 x R^2)\/2\u00a0<\/span><\/p>\n<p><span style=\"font-weight: 400;\">X\u00e9t hai tam gi\u00e1c l\u00e0 AOM v\u00e0 BOM th\u00ec ta \u0111\u01b0\u1ee3c:<\/span><\/p>\n<ul>\n<li><span style=\"font-weight: 400;\">OM l\u00e0 \u0111o\u1ea1n chung<\/span><\/li>\n<li><span style=\"font-weight: 400;\">BO = AO = R<\/span><\/li>\n<li><span style=\"font-weight: 400;\">AM = BM (ti\u1ebfp tuy\u1ebfn c\u00f3 th\u1ec3 c\u1eaft nhau)<\/span><\/li>\n<\/ul>\n<p><span style=\"font-weight: 400;\">V\u00ec v\u1eady m\u00e0 tam gi\u00e1c t\u00ean AOM b\u1eb1ng v\u1edbi tam gi\u00e1c BOM (c\u1ea1nh &#8211; c\u1ea1nh &#8211; c\u1ea1nh)<\/span><\/p>\n<p><span style=\"font-weight: 400;\">Suy ra di\u1ec7n t\u00edch c\u1ee7a tam gi\u00e1c AOM = Di\u1ec7n t\u00edch c\u1ee7a tam gi\u00e1c BOM = (\u221a3 x R^2)\/2<\/span><\/p>\n<p><span style=\"font-weight: 400;\">Suy ra di\u1ec7n t\u00edch c\u1ee7a h\u00ecnh AMBO = Di\u1ec7n t\u00edch c\u1ee7a AOM + Di\u1ec7n t\u00edch c\u1ee7a BOM =\u00a0<\/span><\/p>\n<p><span style=\"font-weight: 400;\">\u00a0(\u221a3 x R^2)\/2 + (\u221a3 x R^2)\/2 = \u221a3 x R^2<\/span><\/p>\n<p><span style=\"font-weight: 400;\">V\u1eady di\u1ec7n t\u00edch h\u00ecnh qu\u1ea1t tr\u00f2n c\u00f3 cung AB l\u00e0: S = (\u03c0 x R^2 x 120 \u0111\u1ed9)\/ 360 = (\u03c0 x R^2)\/3<\/span><\/p>\n<p><span style=\"font-weight: 400;\">Di\u1ec7n t\u00edch c\u1ee7a khu v\u1ef1c gi\u1edbi h\u1ea1n b\u1edfi ti\u1ebfp tuy\u1ebfn MB, MA c\u00f9ng cung AB l\u00e0:<\/span><\/p>\n<p><span style=\"font-weight: 400;\">S = Di\u1ec7n t\u00edch c\u1ee7a AMBO + Di\u1ec7n t\u00edch c\u1ee7a h\u00ecnh qu\u1ea1t tr\u00f2n c\u00f3 cung l\u00e0 AB = \u221a3 x R^2 + (\u03c0 x R^2)\/3 = R^2 x (\u221a3 &#8211; (\u03c0\/3))<\/span><\/p>\n<h2><span style=\"font-weight: 400;\">M\u1ed9t s\u1ed1 b\u00e0i to\u00e1n v\u1ec1 t\u00ednh di\u1ec7n t\u00edch h\u00ecnh qu\u1ea1t t\u1ef1 luy\u1ec7n<\/span><\/h2>\n<p><span style=\"font-weight: 400;\">C\u00e1c b\u1ea1n c\u00f3 th\u1ec3 t\u1ef1 luy\u1ec7n th\u00eam v\u00e0i b\u00e0i v\u1ec1 c\u00f4ng th\u1ee9c t\u00ednh S c\u1ee7a h\u00ecnh qu\u1ea1t sau \u0111\u00e2y:<\/span><\/p>\n<p><span style=\"font-weight: 400;\">B\u00e0i 1: Cho 1 h\u00ecnh qu\u1ea1t c\u00f3 C = 28cm v\u00e0 S = 49cm2. H\u00e3y t\u00ednh to\u00e1n R c\u1ee7a h\u00ecnh qu\u1ea1t n\u00e0y.<\/span><\/p>\n<p><span style=\"font-weight: 400;\">B\u00e0i 2: Cho 1 \u0111\u01b0\u1eddng tr\u00f2n t\u00e2m I v\u1edbi b\u00e1n k\u00ednh l\u00e0 2cm. H\u00e3y v\u1ebd \u0111\u01b0\u1eddng b\u00e1n k\u00ednh IB, IA sao cho g\u00f3c t\u00ean AIB b\u1eb1ng 120 \u0111\u1ed9. B\u1ea1n h\u00e3y t\u00ednh:<\/span><\/p>\n<ul>\n<li style=\"font-weight: 400;\"><span style=\"font-weight: 400;\">H\u00e3y t\u00ednh \u0111\u1ed9 d\u00e0i c\u1ee7a cung AB.\u00a0<\/span><\/li>\n<li style=\"font-weight: 400;\"><span style=\"font-weight: 400;\">H\u00e3y t\u00ednh S c\u1ee7a h\u00ecnh qu\u1ea1t b\u1ecb gi\u1edbi h\u1ea1n b\u1edfi cung AB c\u00f9ng 2 b\u00e1n k\u00ednh l\u00e0 IB v\u00e0 IA.<\/span><\/li>\n<\/ul>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"size-full wp-image-306230 aligncenter\" src=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2024\/01\/dien-tich-hinh-quat-7.jpg\" alt=\"dien-tich-hinh-quat-7\" width=\"800\" height=\"450\" srcset=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2024\/01\/dien-tich-hinh-quat-7.jpg 800w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2024\/01\/dien-tich-hinh-quat-7-300x169.jpg 300w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2024\/01\/dien-tich-hinh-quat-7-768x432.jpg 768w\" sizes=\"(max-width: 800px) 100vw, 800px\" \/><\/p>\n<p><span style=\"font-weight: 400;\">B\u00e0i 3: Cho 2 \u0111\u01b0\u1eddng tr\u00f2n c\u00f3 c\u00f9ng t\u00e2m O. B\u00e1n k\u00ednh c\u1ee7a 2 \u0111\u01b0\u1eddng tr\u00f2n n\u00e0y l\u00e0 r b\u1eb1ng 5cm v\u00e0 r b\u1eb1ng 2cm. B\u1ea1n h\u00e3y l\u1ea5y hai \u0111i\u1ec3m A v\u00e0 B sao cho thu\u1ed9c \u0111\u01b0\u1eddng tr\u00f2n O v\u00e0 \u0111\u1ea3m b\u1ea3o g\u00f3c AOB b\u1eb1ng 70 \u0111\u1ed9. Tia OB, OA c\u1eaft \u0111\u01b0\u1eddng tr\u00f2n t\u00e2m O c\u00f3 b\u00e1n k\u00ednh R \u1edf \u0111i\u1ec3m D, E. B\u1ea1n h\u00e3y l\u1ea5y \u0111i\u1ec3m C n\u1eb1m trong \u0111\u01b0\u1eddng tr\u00f2n O.<\/span><\/p>\n<ul>\n<li style=\"font-weight: 400;\"><span style=\"font-weight: 400;\">T\u00ednh s\u1ed1 \u0111o g\u00f3c DCE v\u00e0 g\u00f3c DOE.<\/span><\/li>\n<li style=\"font-weight: 400;\"><span style=\"font-weight: 400;\">T\u00ednh \u0111\u1ed9 d\u00e0i c\u1ee7a \u0111\u01b0\u1eddng tr\u00f2n t\u00e2m O, b\u00e1n k\u00ednh R v\u00e0 t\u00ednh \u0111\u01b0\u1eddng tr\u00f2n t\u00e2m O b\u00e1n k\u00ednh r v\u1edbi \u0111\u1ed9 d\u00e0i c\u1ee7a cung DE.<\/span><\/li>\n<li style=\"font-weight: 400;\"><span style=\"font-weight: 400;\">T\u00ednh S c\u1ee7a h\u00ecnh tr\u00f2n t\u00e2m O c\u00f3 b\u00e1n k\u00ednh r v\u00e0 t\u00ednh h\u00ecnh qu\u1ea1t DOE.<\/span><\/li>\n<\/ul>\n<p><span style=\"font-weight: 400;\">N\u1ed9i dung tr\u00ean \u0111\u00e3 chia s\u1ebb xong nh\u1eefng ki\u1ebfn th\u1ee9c v\u1ec1 c\u00f4ng th\u1ee9c t\u00ednh di\u1ec7n t\u00edch h\u00ecnh qu\u1ea1t c\u00f9ng nh\u1eefng b\u00e0i t\u1eadp li\u00ean quan. C\u00e1c b\u1ea1n h\u1ecdc sinh ph\u1ea3i n\u1eafm r\u00f5 ki\u1ebfn th\u1ee9c n\u00e0y \u0111\u1ec3 l\u00e0m b\u00e0i ki\u1ec3m tra h\u00ecnh h\u1ecdc t\u1ed1t h\u01a1n.\u00a0<\/span><\/p>\n<p><span style=\"font-weight: 400;\">Tham kh\u1ea3o b\u00e0i vi\u1ebft li\u00ean quan:<\/span><\/p>\n<ul>\n<li style=\"font-weight: 400;\"><strong><a href=\"https:\/\/hoanghamobile.com\/tin-tuc\/cach-tinh-dien-tich-tam-giac-deu\/\">T\u00ecm hi\u1ec3u c\u00f4ng th\u1ee9c t\u00ednh di\u1ec7n t\u00edch h\u00ecnh tam gi\u00e1c \u0111\u1ec1u, \u0111\u01b0\u1eddng cao tam gi\u00e1c \u0111\u1ec1u<\/a><\/strong><\/li>\n<li style=\"font-weight: 400;\"><strong><a href=\"https:\/\/hoanghamobile.com\/tin-tuc\/dien-tich-hinh-binh-hanh\/\">C\u00f4ng th\u1ee9c t\u00ednh di\u1ec7n t\u00edch h\u00ecnh b\u00ecnh h\u00e0nh ch\u00ednh x\u00e1c nh\u1ea5t 2023 v\u00e0 b\u00e0i t\u1eadp<\/a><\/strong><\/li>\n<\/ul>\n","protected":false},"excerpt":{"rendered":"<p>Hi\u1ec7n nay c\u00f3 kh\u00e1 nhi\u1ec1u b\u1ea1n h\u1ecdc sinh ch\u01b0a bi\u1ebft c\u00e1ch t\u00ednh di\u1ec7n t\u00edch h\u00ecnh qu\u1ea1t tr\u00f2n v\u00ec ch\u01b0a n\u1eafm r\u00f5 c\u00f4ng th\u1ee9c c\u1ee7a n\u00f3. \u0110\u00e2y l\u00e0 ki\u1ebfn th\u1ee9c gi\u00fap c\u00e1c b\u1ea1n h\u1ecdc sinh c\u00f3 th\u1ec3 h\u1ecdc t\u1ed1t m\u00f4n h\u00ecnh h\u1ecdc \u1edf l\u1edbp. V\u00ec v\u1eady \u1edf b\u00e0i vi\u1ebft sau s\u1ebd chia s\u1ebb c\u00f4ng th\u1ee9c t\u00ednh [&hellip;]<\/p>\n","protected":false},"author":102,"featured_media":306223,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[3910,30453],"tags":[],"class_list":["post-306222","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-kham-pha","category-kien-thuc"],"yoast_head":"<!-- This site is optimized with the Yoast SEO Premium plugin v27.3 (Yoast SEO v27.4) - https:\/\/yoast.com\/product\/yoast-seo-premium-wordpress\/ -->\n<title>C\u00f4ng th\u1ee9c t\u00ednh di\u1ec7n t\u00edch h\u00ecnh qu\u1ea1t tr\u00f2n chi ti\u1ebft k\u00e8m v\u00ed d\u1ee5<\/title>\n<meta name=\"description\" content=\"C\u00e1c b\u1ea1n l\u1edbp 9 ph\u1ea3i n\u1eafm c\u00f4ng th\u1ee9c t\u00ednh di\u1ec7n t\u00edch h\u00ecnh qu\u1ea1t \u0111\u1ec3 h\u1ecdc m\u00f4n h\u00ecnh h\u1ecdc t\u1ed1t h\u01a1n. C\u00f3 kh\u00e1 nhi\u1ec1u b\u00e0i t\u1eadp li\u00ean quan t\u1edbi c\u00f4ng th\u1ee9c n\u00e0y.\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/hoanghamobile.com\/tin-tuc\/dien-tich-hinh-quat\/\" \/>\n<meta property=\"og:locale\" content=\"vi_VN\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"C\u00f4ng th\u1ee9c t\u00ednh di\u1ec7n t\u00edch h\u00ecnh qu\u1ea1t tr\u00f2n\" \/>\n<meta property=\"og:description\" content=\"C\u00e1c b\u1ea1n l\u1edbp 9 ph\u1ea3i n\u1eafm c\u00f4ng th\u1ee9c t\u00ednh di\u1ec7n t\u00edch h\u00ecnh qu\u1ea1t \u0111\u1ec3 h\u1ecdc m\u00f4n h\u00ecnh h\u1ecdc t\u1ed1t h\u01a1n. 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