{"id":564803,"date":"2026-07-10T09:45:29","date_gmt":"2026-07-10T02:45:29","guid":{"rendered":"https:\/\/hoanghamobile.com\/tin-tuc\/?p=564803"},"modified":"2026-07-10T09:45:29","modified_gmt":"2026-07-10T02:45:29","slug":"dien-tich-hinh-tron","status":"publish","type":"post","link":"https:\/\/hoanghamobile.com\/tin-tuc\/dien-tich-hinh-tron\/","title":{"rendered":"C\u00f4ng Th\u1ee9c T\u00ednh Di\u1ec7n T\u00edch H\u00ecnh Tr\u00f2n: C\u00e1ch T\u00ednh, V\u00ed D\u1ee5 &#038; B\u00e0i T\u1eadp"},"content":{"rendered":"<p style=\"text-align: justify;\"><b>Di\u1ec7n t\u00edch h\u00ecnh tr\u00f2n<\/b> l\u00e0 m\u1ed9t trong nh\u1eefng c\u00f4ng th\u1ee9c \u0111\u01b0\u1ee3c t\u00ecm ki\u1ebfm nhi\u1ec1u nh\u1ea5t khi h\u1ecdc h\u00ecnh h\u1ecdc, b\u1edfi h\u00ecnh tr\u00f2n xu\u1ea5t hi\u1ec7n \u1edf kh\u1eafp n\u01a1i: m\u1eb7t \u0111\u1ed3ng h\u1ed3, b\u00e1nh xe, n\u1eafp c\u1ed1ng hay chi\u1ebfc b\u00e1nh pizza. Kh\u00e1c v\u1edbi c\u00e1c h\u00ecnh c\u00f3 c\u1ea1nh th\u1eb3ng, h\u00ecnh tr\u00f2n c\u1ea7n \u0111\u1ebfn s\u1ed1 Pi (\u03c0) \u0111\u1ec3 t\u00ednh. Trong n\u1ed9i dung d\u01b0\u1edbi \u0111\u00e2y, b\u1ea1n s\u1ebd n\u1eafm \u0111\u01b0\u1ee3c c\u00f4ng th\u1ee9c t\u00ednh di\u1ec7n t\u00edch c\u1ee7a h\u00ecnh tr\u00f2n theo b\u00e1n k\u00ednh, theo \u0111\u01b0\u1eddng k\u00ednh v\u00e0 khi ch\u1ec9 bi\u1ebft chu vi, k\u00e8m v\u00ed d\u1ee5 c\u00f3 l\u1eddi gi\u1ea3i t\u1eebng b\u01b0\u1edbc, b\u1ea3ng tra nhanh v\u00e0 nh\u1eefng d\u1ea1ng b\u00e0i th\u01b0\u1eddng g\u1eb7p \u0111\u1ec3 t\u1ef1 luy\u1ec7n.<\/p>\n<h2 style=\"text-align: justify;\"><b>H\u00ecnh tr\u00f2n v\u00e0 c\u00e1c \u0111\u1ea1i l\u01b0\u1ee3ng c\u1ea7n bi\u1ebft<\/b><\/h2>\n<p style=\"text-align: justify;\">Tr\u01b0\u1edbc khi t\u00ednh to\u00e1n, b\u1ea1n c\u1ea7n ph\u00e2n bi\u1ec7t r\u00f5 c\u00e1c \u0111\u1ea1i l\u01b0\u1ee3ng c\u1ee7a h\u00ecnh tr\u00f2n, v\u00ec nh\u1ea7m l\u1eabn gi\u1eefa b\u00e1n k\u00ednh v\u00e0 \u0111\u01b0\u1eddng k\u00ednh l\u00e0 l\u1ed7i ph\u1ed5 bi\u1ebfn nh\u1ea5t khi\u1ebfn k\u1ebft qu\u1ea3 sai. H\u00ecnh tr\u00f2n l\u00e0 ph\u1ea7n m\u1eb7t ph\u1eb3ng n\u1eb1m b\u00ean trong m\u1ed9t \u0111\u01b0\u1eddng tr\u00f2n, c\u00f2n \u0111\u01b0\u1eddng tr\u00f2n l\u00e0 \u0111\u01b0\u1eddng bao quanh n\u00f3. M\u1ecdi c\u00f4ng th\u1ee9c t\u00ednh di\u1ec7n t\u00edch \u0111\u1ec1u xoay quanh vi\u1ec7c x\u00e1c \u0111\u1ecbnh \u0111\u00fang b\u00e1n k\u00ednh.<\/p>\n<ul style=\"text-align: justify;\">\n<li>T\u00e2m (O): \u0111i\u1ec3m c\u1ed1 \u0111\u1ecbnh n\u1eb1m ch\u00ednh gi\u1eefa, c\u00e1ch \u0111\u1ec1u m\u1ecdi \u0111i\u1ec3m tr\u00ean \u0111\u01b0\u1eddng tr\u00f2n.<\/li>\n<li>B\u00e1n k\u00ednh (r): kho\u1ea3ng c\u00e1ch t\u1eeb t\u00e2m \u0111\u1ebfn m\u00e9p h\u00ecnh tr\u00f2n.<\/li>\n<li>\u0110\u01b0\u1eddng k\u00ednh (d): \u0111o\u1ea1n th\u1eb3ng \u0111i qua t\u00e2m, n\u1ed1i hai \u0111i\u1ec3m tr\u00ean m\u00e9p; lu\u00f4n c\u00f3 d = 2 \u00d7 r, hay r = d : 2.<\/li>\n<li>Chu vi (C): \u0111\u1ed9 d\u00e0i \u0111\u01b0\u1eddng bao quanh h\u00ecnh tr\u00f2n, t\u00ednh b\u1eb1ng C = 2 \u00d7 \u03c0 \u00d7 r = \u03c0 \u00d7 d.<\/li>\n<li>S\u1ed1 Pi (\u03c0): h\u1eb1ng s\u1ed1 x\u1ea5p x\u1ec9 3,14 (ho\u1eb7c 3,14159 \u0111\u1ec3 ch\u00ednh x\u00e1c h\u01a1n), l\u00e0 t\u1ec9 s\u1ed1 gi\u1eefa chu vi v\u00e0 \u0111\u01b0\u1eddng k\u00ednh c\u1ee7a m\u1ecdi h\u00ecnh tr\u00f2n.<\/li>\n<\/ul>\n<p style=\"text-align: justify;\">N\u1ebfu mu\u1ed1n \u00f4n l\u1ea1i ph\u1ea7n \u0111\u01b0\u1eddng bao, b\u1ea1n c\u00f3 th\u1ec3 xem th\u00eam b\u00e0i <a href=\"https:\/\/hoanghamobile.com\/tin-tuc\/chu-vi-hinh-tron\/\">chu vi h\u00ecnh tr\u00f2n<\/a> \u0111\u1ec3 hi\u1ec3u m\u1ed1i li\u00ean h\u1ec7 gi\u1eefa chu vi, b\u00e1n k\u00ednh v\u00e0 \u0111\u01b0\u1eddng k\u00ednh.<\/p>\n<p><img fetchpriority=\"high\" decoding=\"async\" class=\"aligncenter size-full wp-image-565258\" src=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2026\/07\/dien-tich-hinh-tron-1.jpg\" alt=\"dien-tich-hinh-tron-1\" width=\"800\" height=\"450\" srcset=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2026\/07\/dien-tich-hinh-tron-1.jpg 800w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2026\/07\/dien-tich-hinh-tron-1-300x169.jpg 300w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2026\/07\/dien-tich-hinh-tron-1-768x432.jpg 768w\" sizes=\"(max-width: 800px) 100vw, 800px\" \/><\/p>\n<h2 style=\"text-align: justify;\"><b>C\u00f4ng th\u1ee9c t\u00ednh di\u1ec7n t\u00edch h\u00ecnh tr\u00f2n<\/b><\/h2>\n<p style=\"text-align: justify;\">Di\u1ec7n t\u00edch h\u00ecnh tr\u00f2n l\u00e0 \u0111\u1ea1i l\u01b0\u1ee3ng bi\u1ec3u th\u1ecb ph\u1ea7n m\u1eb7t ph\u1eb3ng n\u1eb1m b\u00ean trong \u0111\u01b0\u1eddng tr\u00f2n. C\u00f4ng th\u1ee9c g\u1ed1c ch\u1ec9 c\u1ea7n \u0111\u1ebfn b\u00e1n k\u00ednh, c\u00f2n khi \u0111\u1ec1 cho \u0111\u01b0\u1eddng k\u00ednh ho\u1eb7c chu vi th\u00ec b\u1ea1n quy \u0111\u1ed5i v\u1ec1 b\u00e1n k\u00ednh tr\u01b0\u1edbc r\u1ed3i \u00e1p d\u1ee5ng c\u00f4ng th\u1ee9c. B\u1ea3ng d\u01b0\u1edbi \u0111\u00e2y t\u1ed5ng h\u1ee3p c\u1ea3 ba tr\u01b0\u1eddng h\u1ee3p th\u01b0\u1eddng g\u1eb7p.<\/p>\n<table>\n<thead>\n<tr>\n<th><b>Tr\u01b0\u1eddng h\u1ee3p<\/b><\/th>\n<th><b>C\u00f4ng th\u1ee9c<\/b><\/th>\n<th><b>Ghi ch\u00fa<\/b><\/th>\n<\/tr>\n<\/thead>\n<tbody>\n<tr>\n<td>Bi\u1ebft b\u00e1n k\u00ednh r<\/td>\n<td><b>S = \u03c0 \u00d7 r\u00b2<\/b><\/td>\n<td>C\u00f4ng th\u1ee9c g\u1ed1c, d\u00f9ng ph\u1ed5 bi\u1ebfn nh\u1ea5t<\/td>\n<\/tr>\n<tr>\n<td>Bi\u1ebft \u0111\u01b0\u1eddng k\u00ednh d<\/td>\n<td>S = \u03c0 \u00d7 (d : 2)\u00b2 = \u03c0 \u00d7 d\u00b2 : 4<\/td>\n<td>\u0110\u1ed5i d v\u1ec1 r tr\u01b0\u1edbc r\u1ed3i t\u00ednh<\/td>\n<\/tr>\n<tr>\n<td>Bi\u1ebft chu vi C<\/td>\n<td>r = C : (2 \u00d7 \u03c0) r\u1ed3i S = \u03c0 \u00d7 r\u00b2 (hay S = C\u00b2 : (4 \u00d7 \u03c0))<\/td>\n<td>T\u1eeb chu vi suy ra b\u00e1n k\u00ednh<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p style=\"text-align: justify;\">Ghi nh\u1edb c\u1ed1t l\u00f5i: di\u1ec7n t\u00edch c\u1ee7a h\u00ecnh tr\u00f2n b\u1eb1ng s\u1ed1 Pi nh\u00e2n v\u1edbi b\u00ecnh ph\u01b0\u01a1ng b\u00e1n k\u00ednh. M\u1ecdi tr\u01b0\u1eddng h\u1ee3p kh\u00e1c \u0111\u1ec1u quy v\u1ec1 vi\u1ec7c t\u00ecm ra b\u00e1n k\u00ednh r r\u1ed3i \u00e1p d\u1ee5ng c\u00f4ng th\u1ee9c g\u1ed1c. \u0110\u01a1n v\u1ecb di\u1ec7n t\u00edch lu\u00f4n l\u00e0 \u0111\u01a1n v\u1ecb \u0111\u1ed9 d\u00e0i b\u00ecnh ph\u01b0\u01a1ng (cm\u00b2, m\u00b2\u2026).<\/p>\n<h3 style=\"text-align: justify;\"><b>T\u00ednh di\u1ec7n t\u00edch khi bi\u1ebft \u0111\u01b0\u1eddng k\u00ednh<\/b><\/h3>\n<p style=\"text-align: justify;\">Nhi\u1ec1u b\u00e0i to\u00e1n th\u1ef1c t\u1ebf (m\u1eb7t b\u00e0n, n\u1eafp h\u1ed9p, \u0111\u0129a CD) cho s\u1eb5n \u0111\u01b0\u1eddng k\u00ednh thay v\u00ec b\u00e1n k\u00ednh. B\u1ea1n ch\u1ec9 c\u1ea7n chia \u0111\u00f4i \u0111\u01b0\u1eddng k\u00ednh \u0111\u1ec3 c\u00f3 b\u00e1n k\u00ednh r\u1ed3i thay v\u00e0o c\u00f4ng th\u1ee9c g\u1ed1c. C\u00e1ch vi\u1ebft g\u1ed9p l\u00e0 S = \u03c0 \u00d7 d\u00b2 : 4, nh\u01b0ng chia \u0111\u00f4i tr\u01b0\u1edbc th\u01b0\u1eddng \u00edt nh\u1ea7m h\u01a1n v\u1edbi h\u1ecdc sinh.<\/p>\n<h3 style=\"text-align: justify;\"><b>T\u00ednh di\u1ec7n t\u00edch khi bi\u1ebft chu vi<\/b><\/h3>\n<p style=\"text-align: justify;\">Khi \u0111\u1ec1 ch\u1ec9 cho chu vi, b\u1ea1n d\u00f9ng c\u00f4ng th\u1ee9c chu vi C = 2 \u00d7 \u03c0 \u00d7 r \u0111\u1ec3 suy ng\u01b0\u1ee3c ra b\u00e1n k\u00ednh: r = C : (2 \u00d7 \u03c0). C\u00f3 \u0111\u01b0\u1ee3c r r\u1ed3i th\u00ec \u00e1p d\u1ee5ng S = \u03c0 \u00d7 r\u00b2 nh\u01b0 b\u00ecnh th\u01b0\u1eddng. N\u1ebfu mu\u1ed1n t\u00ednh m\u1ed9t b\u01b0\u1edbc, c\u00f3 th\u1ec3 d\u00f9ng tr\u1ef1c ti\u1ebfp S = C\u00b2 : (4 \u00d7 \u03c0), suy ra t\u1eeb vi\u1ec7c thay r = C : (2 \u00d7 \u03c0) v\u00e0o c\u00f4ng th\u1ee9c di\u1ec7n t\u00edch.<\/p>\n<h2 style=\"text-align: justify;\"><b>V\u00ed d\u1ee5 minh h\u1ecda c\u00f3 l\u1eddi gi\u1ea3i<\/b><\/h2>\n<p style=\"text-align: justify;\">Ba v\u00ed d\u1ee5 d\u01b0\u1edbi \u0111\u00e2y b\u00e1m s\u00e1t ba tr\u01b0\u1eddng h\u1ee3p \u1edf tr\u00ean, tr\u00ecnh b\u00e0y t\u1eebng b\u01b0\u1edbc \u0111\u1ec3 b\u1ea1n d\u1ec5 theo d\u00f5i. T\u1ea5t c\u1ea3 \u0111\u1ec1u l\u1ea5y \u03c0 = 3,14 cho g\u1ecdn; n\u1ebfu d\u00f9ng ph\u00edm \u03c0 tr\u00ean m\u00e1y t\u00ednh, k\u1ebft qu\u1ea3 s\u1ebd l\u1ec7ch m\u1ed9t ch\u00fat \u1edf h\u00e0ng th\u1eadp ph\u00e2n.<\/p>\n<table>\n<thead>\n<tr>\n<th><b>V\u00ed d\u1ee5<\/b><\/th>\n<th><b>D\u1eef ki\u1ec7n<\/b><\/th>\n<th><b>L\u1eddi gi\u1ea3i t\u1eebng b\u01b0\u1edbc<\/b><\/th>\n<th><b>K\u1ebft qu\u1ea3<\/b><\/th>\n<\/tr>\n<\/thead>\n<tbody>\n<tr>\n<td>1 \u2014 Bi\u1ebft b\u00e1n k\u00ednh<\/td>\n<td>r = 5 cm<\/td>\n<td>S = \u03c0 \u00d7 r\u00b2 = 3,14 \u00d7 5\u00b2 = 3,14 \u00d7 25<\/td>\n<td>78,5 cm\u00b2<\/td>\n<\/tr>\n<tr>\n<td>2 \u2014 Bi\u1ebft \u0111\u01b0\u1eddng k\u00ednh<\/td>\n<td>d = 1,2 m (m\u1eb7t b\u00e0n tr\u00f2n)<\/td>\n<td>r = 1,2 : 2 = 0,6 m; S = 3,14 \u00d7 0,6\u00b2 = 3,14 \u00d7 0,36<\/td>\n<td>\u2248 1,13 m\u00b2<\/td>\n<\/tr>\n<tr>\n<td>3 \u2014 Bi\u1ebft chu vi<\/td>\n<td>C = 31,4 cm<\/td>\n<td>r = 31,4 : (2 \u00d7 3,14) = 5 cm; S = 3,14 \u00d7 5\u00b2 = 3,14 \u00d7 25<\/td>\n<td>78,5 cm\u00b2<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p style=\"text-align: justify;\">L\u01b0u \u00fd \u1edf V\u00ed d\u1ee5 2: ph\u1ea3i chia \u0111\u00f4i \u0111\u01b0\u1eddng k\u00ednh tr\u01b0\u1edbc. N\u1ebfu qu\u00ean b\u01b0\u1edbc n\u00e0y v\u00e0 thay th\u1eb3ng d = 1,2 v\u00e0o ch\u1ed7 c\u1ee7a r, b\u1ea1n s\u1ebd ra 3,14 \u00d7 1,44 \u2248 4,52 m\u00b2 \u2014 g\u1ea5p b\u1ed1n l\u1ea7n k\u1ebft qu\u1ea3 \u0111\u00fang. \u0110\u00e2y ch\u00ednh l\u00e0 l\u1ed7i hay g\u1eb7p nh\u1ea5t khi t\u00ednh di\u1ec7n t\u00edch c\u1ee7a h\u00ecnh tr\u00f2n.<\/p>\n<p><img decoding=\"async\" class=\"aligncenter size-full wp-image-565257\" src=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2026\/07\/dien-tich-hinh-tron-2.jpg\" alt=\"dien-tich-hinh-tron-2\" width=\"800\" height=\"450\" srcset=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2026\/07\/dien-tich-hinh-tron-2.jpg 800w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2026\/07\/dien-tich-hinh-tron-2-300x169.jpg 300w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2026\/07\/dien-tich-hinh-tron-2-768x432.jpg 768w\" sizes=\"(max-width: 800px) 100vw, 800px\" \/><\/p>\n<h2 style=\"text-align: justify;\"><b>B\u1ea3ng tra nhanh di\u1ec7n t\u00edch theo b\u00e1n k\u00ednh<\/b><\/h2>\n<p style=\"text-align: justify;\">B\u1ea3ng d\u01b0\u1edbi \u0111\u00e2y li\u1ec7t k\u00ea s\u1eb5n di\u1ec7n t\u00edch c\u1ee7a m\u1ed9t v\u00e0i h\u00ecnh tr\u00f2n c\u00f3 b\u00e1n k\u00ednh tr\u00f2n s\u1ed1 (l\u1ea5y \u03c0 = 3,14), gi\u00fap b\u1ea1n \u01b0\u1edbc l\u01b0\u1ee3ng nhanh ho\u1eb7c ki\u1ec3m tra l\u1ea1i k\u1ebft qu\u1ea3 c\u1ee7a m\u00ecnh.<\/p>\n<table>\n<thead>\n<tr>\n<th><b>B\u00e1n k\u00ednh r<\/b><\/th>\n<th><b>\u0110\u01b0\u1eddng k\u00ednh d = 2r<\/b><\/th>\n<th><b>Di\u1ec7n t\u00edch S = 3,14 \u00d7 r\u00b2<\/b><\/th>\n<\/tr>\n<\/thead>\n<tbody>\n<tr>\n<td>1 cm<\/td>\n<td>2 cm<\/td>\n<td>3,14 cm\u00b2<\/td>\n<\/tr>\n<tr>\n<td>2 cm<\/td>\n<td>4 cm<\/td>\n<td>12,56 cm\u00b2<\/td>\n<\/tr>\n<tr>\n<td>3 cm<\/td>\n<td>6 cm<\/td>\n<td>28,26 cm\u00b2<\/td>\n<\/tr>\n<tr>\n<td>5 cm<\/td>\n<td>10 cm<\/td>\n<td>78,5 cm\u00b2<\/td>\n<\/tr>\n<tr>\n<td>10 cm<\/td>\n<td>20 cm<\/td>\n<td>314 cm\u00b2<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<h2 style=\"text-align: justify;\"><b>Di\u1ec7n t\u00edch h\u00ecnh v\u00e0nh kh\u0103n v\u00e0 h\u00ecnh qu\u1ea1t tr\u00f2n<\/b><\/h2>\n<p style=\"text-align: justify;\">T\u1eeb c\u00f4ng th\u1ee9c di\u1ec7n t\u00edch h\u00ecnh tr\u00f2n, b\u1ea1n c\u00f3 th\u1ec3 t\u00ednh th\u00eam hai h\u00ecnh li\u00ean quan th\u01b0\u1eddng g\u1eb7p trong \u0111\u1ec1. H\u00ecnh v\u00e0nh kh\u0103n l\u00e0 ph\u1ea7n n\u1eb1m gi\u1eefa hai \u0111\u01b0\u1eddng tr\u00f2n \u0111\u1ed3ng t\u00e2m b\u00e1n k\u00ednh R (ngo\u00e0i) v\u00e0 r (trong), c\u00f3 di\u1ec7n t\u00edch b\u1eb1ng ph\u1ea7n l\u1edbn tr\u1eeb ph\u1ea7n nh\u1ecf: S = \u03c0 \u00d7 (R\u00b2 \u2212 r\u00b2). H\u00ecnh qu\u1ea1t tr\u00f2n ch\u1ec9 l\u00e0 m\u1ed9t &#8220;mi\u1ebfng b\u00e1nh&#8221; \u1ee9ng v\u1edbi g\u00f3c \u1edf t\u00e2m n \u0111\u1ed9, c\u00f3 di\u1ec7n t\u00edch S = \u03c0 \u00d7 r\u00b2 \u00d7 n : 360. N\u1ebfu c\u1ea7n \u0111\u00e0o s\u00e2u, h\u00e3y xem b\u00e0i <a href=\"https:\/\/hoanghamobile.com\/tin-tuc\/cong-thuc-dien-tich-hinh-quat-tron\/\">c\u00f4ng th\u1ee9c di\u1ec7n t\u00edch h\u00ecnh qu\u1ea1t tr\u00f2n<\/a>. V\u1edbi c\u00e1c h\u00ecnh ph\u1eb3ng kh\u00e1c, b\u1ea1n c\u0169ng c\u00f3 th\u1ec3 tham kh\u1ea3o c\u00e1ch t\u00ednh <a href=\"https:\/\/hoanghamobile.com\/tin-tuc\/dien-tich-tam-giac\/\">di\u1ec7n t\u00edch tam gi\u00e1c<\/a> \u0111\u1ec3 so s\u00e1nh ph\u01b0\u01a1ng ph\u00e1p.<\/p>\n<h2 style=\"text-align: justify;\"><b>C\u00e1c d\u1ea1ng b\u00e0i t\u1eadp th\u01b0\u1eddng g\u1eb7p<\/b><\/h2>\n<ul style=\"text-align: justify;\">\n<li>D\u1ea1ng 1 \u2014 Cho b\u00e1n k\u00ednh, t\u00ednh di\u1ec7n t\u00edch: \u00e1p d\u1ee5ng tr\u1ef1c ti\u1ebfp S = \u03c0 \u00d7 r\u00b2.<\/li>\n<li>D\u1ea1ng 2 \u2014 Cho \u0111\u01b0\u1eddng k\u00ednh: chia \u0111\u00f4i \u0111\u1ec3 t\u00ecm b\u00e1n k\u00ednh r\u1ed3i t\u00ednh.<\/li>\n<li>D\u1ea1ng 3 \u2014 Cho chu vi: t\u00ecm b\u00e1n k\u00ednh t\u1eeb C = 2 \u00d7 \u03c0 \u00d7 r, sau \u0111\u00f3 t\u00ednh di\u1ec7n t\u00edch.<\/li>\n<li>D\u1ea1ng 4 \u2014 H\u00ecnh gh\u00e9p: t\u00ednh ph\u1ea7n c\u00f2n l\u1ea1i khi kho\u00e9t m\u1ed9t h\u00ecnh tr\u00f2n nh\u1ecf kh\u1ecfi h\u00ecnh l\u1edbn, ho\u1eb7c k\u1ebft h\u1ee3p v\u1edbi di\u1ec7n t\u00edch h\u00ecnh qu\u1ea1t tr\u00f2n, h\u00ecnh v\u00e0nh kh\u0103n.<\/li>\n<\/ul>\n<h2 style=\"text-align: justify;\"><b>B\u00e0i t\u1eadp t\u1ef1 luy\u1ec7n (c\u00f3 \u0111\u00e1p \u00e1n)<\/b><\/h2>\n<ul style=\"text-align: justify;\">\n<li>B\u00e0i 1: H\u00ecnh tr\u00f2n b\u00e1n k\u00ednh 10 cm. T\u00ednh di\u1ec7n t\u00edch (\u03c0 = 3,14). (\u0110\u00e1p \u00e1n: S = 3,14 \u00d7 100 = 314 cm\u00b2)<\/li>\n<li>B\u00e0i 2: H\u00ecnh tr\u00f2n \u0111\u01b0\u1eddng k\u00ednh 8 m. T\u00ednh di\u1ec7n t\u00edch. (\u0110\u00e1p \u00e1n: r = 4 m \u2192 S = 3,14 \u00d7 16 = 50,24 m\u00b2)<\/li>\n<li>B\u00e0i 3: H\u00ecnh tr\u00f2n c\u00f3 chu vi 31,4 cm. T\u00ednh di\u1ec7n t\u00edch. (\u0110\u00e1p \u00e1n: r = 31,4 : 6,28 = 5 cm \u2192 S = 78,5 cm\u00b2)<\/li>\n<li>B\u00e0i 4: M\u1ed9t m\u1ea3nh v\u01b0\u1eddn h\u00ecnh tr\u00f2n b\u00e1n k\u00ednh 7 m. T\u00ednh di\u1ec7n t\u00edch (\u03c0 = 3,14). (\u0110\u00e1p \u00e1n: S = 3,14 \u00d7 49 = 153,86 m\u00b2)<\/li>\n<\/ul>\n<p><img decoding=\"async\" class=\"aligncenter size-full wp-image-565256\" src=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2026\/07\/dien-tich-hinh-tron-3.jpg\" alt=\"dien-tich-hinh-tron-3\" width=\"800\" height=\"450\" srcset=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2026\/07\/dien-tich-hinh-tron-3.jpg 800w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2026\/07\/dien-tich-hinh-tron-3-300x169.jpg 300w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2026\/07\/dien-tich-hinh-tron-3-768x432.jpg 768w\" sizes=\"(max-width: 800px) 100vw, 800px\" \/><\/p>\n<h2 style=\"text-align: justify;\"><b>C\u00e2u h\u1ecfi th\u01b0\u1eddng g\u1eb7p<\/b><\/h2>\n<h3 style=\"text-align: justify;\"><b>C\u00f4ng th\u1ee9c t\u00ednh di\u1ec7n t\u00edch h\u00ecnh tr\u00f2n l\u00e0 g\u00ec?<\/b><\/h3>\n<p style=\"text-align: justify;\">S = \u03c0 \u00d7 r\u00b2, t\u1ee9c s\u1ed1 Pi nh\u00e2n v\u1edbi b\u00ecnh ph\u01b0\u01a1ng b\u00e1n k\u00ednh. Th\u01b0\u1eddng l\u1ea5y \u03c0 \u2248 3,14, \u0111\u01a1n v\u1ecb k\u1ebft qu\u1ea3 l\u00e0 \u0111\u01a1n v\u1ecb \u0111\u1ed9 d\u00e0i b\u00ecnh ph\u01b0\u01a1ng nh\u01b0 cm\u00b2 hay m\u00b2.<\/p>\n<h3 style=\"text-align: justify;\"><b>Bi\u1ebft \u0111\u01b0\u1eddng k\u00ednh th\u00ec t\u00ednh di\u1ec7n t\u00edch c\u1ee7a h\u00ecnh tr\u00f2n th\u1ebf n\u00e0o?<\/b><\/h3>\n<p style=\"text-align: justify;\">Chia \u0111\u00f4i \u0111\u01b0\u1eddng k\u00ednh \u0111\u1ec3 c\u00f3 b\u00e1n k\u00ednh (r = d : 2), r\u1ed3i \u00e1p d\u1ee5ng S = \u03c0 \u00d7 r\u00b2. Ho\u1eb7c d\u00f9ng tr\u1ef1c ti\u1ebfp S = \u03c0 \u00d7 d\u00b2 : 4.<\/p>\n<h3 style=\"text-align: justify;\"><b>Khi ch\u1ec9 bi\u1ebft chu vi th\u00ec t\u00ednh di\u1ec7n t\u00edch ra sao?<\/b><\/h3>\n<p style=\"text-align: justify;\">Suy ra b\u00e1n k\u00ednh t\u1eeb chu vi: r = C : (2 \u00d7 \u03c0), r\u1ed3i thay v\u00e0o S = \u03c0 \u00d7 r\u00b2. C\u00e1ch t\u00ednh g\u1ed9p m\u1ed9t b\u01b0\u1edbc l\u00e0 S = C\u00b2 : (4 \u00d7 \u03c0).<\/p>\n<h3 style=\"text-align: justify;\"><b>S\u1ed1 Pi trong c\u00f4ng th\u1ee9c l\u1ea5y b\u1eb1ng bao nhi\u00eau?<\/b><\/h3>\n<p style=\"text-align: justify;\">Th\u01b0\u1eddng l\u1ea5y \u03c0 \u2248 3,14; khi c\u1ea7n ch\u00ednh x\u00e1c h\u01a1n c\u00f3 th\u1ec3 l\u1ea5y 3,14159 ho\u1eb7c d\u00f9ng ph\u00edm \u03c0 tr\u00ean m\u00e1y t\u00ednh. \u0110\u1ec1 b\u00e0i ti\u1ec3u h\u1ecdc h\u1ea7u h\u1ebft quy \u01b0\u1edbc l\u1ea5y 3,14.<\/p>\n<h3 style=\"text-align: justify;\"><b>Di\u1ec7n t\u00edch c\u1ee7a h\u00ecnh tr\u00f2n kh\u00e1c di\u1ec7n t\u00edch h\u00ecnh qu\u1ea1t tr\u00f2n th\u1ebf n\u00e0o?<\/b><\/h3>\n<p style=\"text-align: justify;\">H\u00ecnh tr\u00f2n l\u00e0 to\u00e0n b\u1ed9 m\u1eb7t ph\u1eb3ng b\u00ean trong \u0111\u01b0\u1eddng tr\u00f2n, c\u00f2n h\u00ecnh qu\u1ea1t tr\u00f2n ch\u1ec9 l\u00e0 m\u1ed9t ph\u1ea7n &#8220;mi\u1ebfng b\u00e1nh&#8221; \u1ee9ng v\u1edbi m\u1ed9t g\u00f3c \u1edf t\u00e2m, n\u00ean di\u1ec7n t\u00edch lu\u00f4n nh\u1ecf h\u01a1n di\u1ec7n t\u00edch h\u00ecnh tr\u00f2n.<\/p>\n<h3 style=\"text-align: justify;\"><b>V\u00ec sao thay \u0111\u01b0\u1eddng k\u00ednh v\u00e0o c\u00f4ng th\u1ee9c l\u1ea1i cho k\u1ebft qu\u1ea3 sai?<\/b><\/h3>\n<p style=\"text-align: justify;\">V\u00ec c\u00f4ng th\u1ee9c S = \u03c0 \u00d7 r\u00b2 d\u00f9ng b\u00e1n k\u00ednh, kh\u00f4ng ph\u1ea3i \u0111\u01b0\u1eddng k\u00ednh. \u0110\u01b0\u1eddng k\u00ednh g\u1ea5p \u0111\u00f4i b\u00e1n k\u00ednh n\u00ean n\u1ebfu thay nh\u1ea7m, k\u1ebft qu\u1ea3 s\u1ebd l\u1edbn g\u1ea5p b\u1ed1n l\u1ea7n gi\u00e1 tr\u1ecb \u0111\u00fang.<\/p>\n<h2 style=\"text-align: justify;\"><b>K\u1ebft lu\u1eadn<\/b><\/h2>\n<p style=\"text-align: justify;\">Ch\u1ec9 v\u1edbi c\u00f4ng th\u1ee9c S = \u03c0 \u00d7 r\u00b2, b\u1ea1n gi\u1ea3i \u0111\u01b0\u1ee3c m\u1ecdi b\u00e0i to\u00e1n v\u1ec1 <b>di\u1ec7n t\u00edch h\u00ecnh tr\u00f2n<\/b> \u2014 \u0111i\u1ec1u quan tr\u1ecdng l\u00e0 x\u00e1c \u0111\u1ecbnh \u0111\u00fang b\u00e1n k\u00ednh t\u1eeb d\u1eef ki\u1ec7n \u0111\u1ec1 cho: \u0111\u01b0\u1eddng k\u00ednh th\u00ec chia \u0111\u00f4i, chu vi th\u00ec suy ng\u01b0\u1ee3c qua c\u00f4ng th\u1ee9c C = 2 \u00d7 \u03c0 \u00d7 r. H\u00e3y lu\u00f4n ki\u1ec3m tra l\u1ea1i \u0111\u01a1n v\u1ecb v\u00e0 nh\u1edb r\u1eb1ng nh\u1ea7m b\u00e1n k\u00ednh v\u1edbi \u0111\u01b0\u1eddng k\u00ednh l\u00e0 l\u1ed7i ph\u1ed5 bi\u1ebfn nh\u1ea5t. N\u1eafm ch\u1eafc c\u00f4ng th\u1ee9c g\u1ed1c v\u00e0 ba tr\u01b0\u1eddng h\u1ee3p quy \u0111\u1ed5i, b\u1ea1n s\u1ebd t\u1ef1 tin x\u1eed l\u00fd c\u1ea3 nh\u1eefng b\u00e0i h\u00ecnh gh\u00e9p ph\u1ee9c t\u1ea1p.<\/p>\n<p><script type=\"application\/ld+json\">\n{\"@context\":\"https:\/\/schema.org\",\"@type\":\"FAQPage\",\"mainEntity\":[{\"@type\":\"Question\",\"name\":\"C\u00f4ng th\u1ee9c t\u00ednh di\u1ec7n t\u00edch h\u00ecnh tr\u00f2n l\u00e0 g\u00ec?\",\"acceptedAnswer\":{\"@type\":\"Answer\",\"text\":\"S = \u03c0 \u00d7 r\u00b2, t\u1ee9c s\u1ed1 Pi nh\u00e2n v\u1edbi b\u00ecnh ph\u01b0\u01a1ng b\u00e1n k\u00ednh. Th\u01b0\u1eddng l\u1ea5y \u03c0 \u2248 3,14, \u0111\u01a1n v\u1ecb k\u1ebft qu\u1ea3 l\u00e0 \u0111\u01a1n v\u1ecb \u0111\u1ed9 d\u00e0i b\u00ecnh ph\u01b0\u01a1ng nh\u01b0 cm\u00b2 hay m\u00b2.\"}},{\"@type\":\"Question\",\"name\":\"Bi\u1ebft \u0111\u01b0\u1eddng k\u00ednh th\u00ec t\u00ednh di\u1ec7n t\u00edch c\u1ee7a h\u00ecnh tr\u00f2n th\u1ebf n\u00e0o?\",\"acceptedAnswer\":{\"@type\":\"Answer\",\"text\":\"Chia \u0111\u00f4i \u0111\u01b0\u1eddng k\u00ednh \u0111\u1ec3 c\u00f3 b\u00e1n k\u00ednh (r = d : 2), r\u1ed3i \u00e1p d\u1ee5ng S = \u03c0 \u00d7 r\u00b2. Ho\u1eb7c d\u00f9ng tr\u1ef1c ti\u1ebfp S = \u03c0 \u00d7 d\u00b2 : 4.\"}},{\"@type\":\"Question\",\"name\":\"Khi ch\u1ec9 bi\u1ebft chu vi th\u00ec t\u00ednh di\u1ec7n t\u00edch ra sao?\",\"acceptedAnswer\":{\"@type\":\"Answer\",\"text\":\"Suy ra b\u00e1n k\u00ednh t\u1eeb chu vi: r = C : (2 \u00d7 \u03c0), r\u1ed3i thay v\u00e0o S = \u03c0 \u00d7 r\u00b2. C\u00e1ch t\u00ednh g\u1ed9p m\u1ed9t b\u01b0\u1edbc l\u00e0 S = C\u00b2 : (4 \u00d7 \u03c0).\"}},{\"@type\":\"Question\",\"name\":\"S\u1ed1 Pi trong c\u00f4ng th\u1ee9c l\u1ea5y b\u1eb1ng bao nhi\u00eau?\",\"acceptedAnswer\":{\"@type\":\"Answer\",\"text\":\"Th\u01b0\u1eddng l\u1ea5y \u03c0 \u2248 3,14; khi c\u1ea7n ch\u00ednh x\u00e1c h\u01a1n c\u00f3 th\u1ec3 l\u1ea5y 3,14159 ho\u1eb7c d\u00f9ng ph\u00edm \u03c0 tr\u00ean m\u00e1y t\u00ednh. \u0110\u1ec1 b\u00e0i ti\u1ec3u h\u1ecdc h\u1ea7u h\u1ebft quy \u01b0\u1edbc l\u1ea5y 3,14.\"}},{\"@type\":\"Question\",\"name\":\"Di\u1ec7n t\u00edch c\u1ee7a h\u00ecnh tr\u00f2n kh\u00e1c di\u1ec7n t\u00edch h\u00ecnh qu\u1ea1t tr\u00f2n th\u1ebf n\u00e0o?\",\"acceptedAnswer\":{\"@type\":\"Answer\",\"text\":\"H\u00ecnh tr\u00f2n l\u00e0 to\u00e0n b\u1ed9 m\u1eb7t ph\u1eb3ng b\u00ean trong \u0111\u01b0\u1eddng tr\u00f2n, c\u00f2n h\u00ecnh qu\u1ea1t tr\u00f2n ch\u1ec9 l\u00e0 m\u1ed9t ph\u1ea7n mi\u1ebfng b\u00e1nh \u1ee9ng v\u1edbi m\u1ed9t g\u00f3c \u1edf t\u00e2m, n\u00ean di\u1ec7n t\u00edch lu\u00f4n nh\u1ecf h\u01a1n di\u1ec7n t\u00edch h\u00ecnh tr\u00f2n.\"}},{\"@type\":\"Question\",\"name\":\"V\u00ec sao thay \u0111\u01b0\u1eddng k\u00ednh v\u00e0o c\u00f4ng th\u1ee9c l\u1ea1i cho k\u1ebft qu\u1ea3 sai?\",\"acceptedAnswer\":{\"@type\":\"Answer\",\"text\":\"V\u00ec c\u00f4ng th\u1ee9c S = \u03c0 \u00d7 r\u00b2 d\u00f9ng b\u00e1n k\u00ednh, kh\u00f4ng ph\u1ea3i \u0111\u01b0\u1eddng k\u00ednh. \u0110\u01b0\u1eddng k\u00ednh g\u1ea5p \u0111\u00f4i b\u00e1n k\u00ednh n\u00ean n\u1ebfu thay nh\u1ea7m, k\u1ebft qu\u1ea3 s\u1ebd l\u1edbn g\u1ea5p b\u1ed1n l\u1ea7n gi\u00e1 tr\u1ecb \u0111\u00fang.\"}}]}\n<\/script><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Di\u1ec7n t\u00edch h\u00ecnh tr\u00f2n l\u00e0 m\u1ed9t trong nh\u1eefng c\u00f4ng th\u1ee9c \u0111\u01b0\u1ee3c t\u00ecm ki\u1ebfm nhi\u1ec1u nh\u1ea5t khi h\u1ecdc h\u00ecnh h\u1ecdc, b\u1edfi h\u00ecnh tr\u00f2n xu\u1ea5t hi\u1ec7n \u1edf kh\u1eafp n\u01a1i: m\u1eb7t \u0111\u1ed3ng h\u1ed3, b\u00e1nh xe, n\u1eafp c\u1ed1ng hay chi\u1ebfc b\u00e1nh pizza. Kh\u00e1c v\u1edbi c\u00e1c h\u00ecnh c\u00f3 c\u1ea1nh th\u1eb3ng, h\u00ecnh tr\u00f2n c\u1ea7n \u0111\u1ebfn s\u1ed1 Pi (\u03c0) \u0111\u1ec3 t\u00ednh. Trong [&hellip;]<\/p>\n","protected":false},"author":84,"featured_media":565255,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_yoast_wpseo_focuskw":"di\u1ec7n t\u00edch h\u00ecnh tr\u00f2n","_yoast_wpseo_title":"Di\u1ec7n T\u00edch H\u00ecnh Tr\u00f2n: C\u00f4ng Th\u1ee9c, V\u00ed D\u1ee5 & B\u00e0i T\u1eadp","_yoast_wpseo_metadesc":"Di\u1ec7n t\u00edch h\u00ecnh tr\u00f2n t\u00ednh b\u1eb1ng S = \u03c0 \u00d7 r\u00b2. H\u01b0\u1edbng d\u1eabn c\u00f4ng th\u1ee9c theo b\u00e1n k\u00ednh, \u0111\u01b0\u1eddng k\u00ednh, chu vi k\u00e8m v\u00ed d\u1ee5 c\u00f3 l\u1eddi gi\u1ea3i v\u00e0 b\u1ea3ng tra nhanh.","footnotes":""},"categories":[29235,3910,30453],"tags":[],"class_list":["post-564803","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-goc-to-mo","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>Di\u1ec7n T\u00edch H\u00ecnh Tr\u00f2n: C\u00f4ng Th\u1ee9c, V\u00ed D\u1ee5 &amp; B\u00e0i T\u1eadp<\/title>\n<meta name=\"description\" content=\"Di\u1ec7n t\u00edch h\u00ecnh tr\u00f2n t\u00ednh b\u1eb1ng S = \u03c0 \u00d7 r\u00b2. 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