{"id":457,"date":"2022-04-12T10:38:20","date_gmt":"2022-04-12T10:38:20","guid":{"rendered":"http:\/\/7thclass.deltapublications.in\/?page_id=457"},"modified":"2025-11-10T09:06:18","modified_gmt":"2025-11-10T09:06:18","slug":"w-9-area-of-compound-figures-with-triangles-semicircles-and-quarter-circles","status":"publish","type":"page","link":"https:\/\/7thclass.deltapublications.in\/index.php\/w-9-area-of-compound-figures-with-triangles-semicircles-and-quarter-circles\/","title":{"rendered":"W.9 Area of compound figures with triangles, semicircles and quarter circles"},"content":{"rendered":"\n<h2 class=\"wp-block-heading has-text-align-center has-text-color\" style=\"color:#00056d;text-transform:uppercase\"><strong>Area of compound figures with triangles, semicircles and quarter circles<\/strong><\/h2>\n\n\n\n<p class=\"has-text-color has-link-color has-large-font-size wp-elements-09eb8d27d0d70f35bd20b1cf47293f11\" style=\"color:#74008b\"><strong>Key Notes :<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"has-text-color has-link-color has-fixed-layout\" style=\"color:#000060\"><tbody><tr><td><strong>\ud83d\udd39What are Compound Figures?<\/strong><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<ul class=\"wp-block-list\">\n<li>A <strong>compound figure<\/strong> (or composite figure) is a shape made up of two or more simple shapes.<\/li>\n\n\n\n<li>Examples of simple shapes: <strong>triangle, square, rectangle, circle, semicircle, quarter circle, trapezium<\/strong>.<\/li>\n\n\n\n<li>To find the <strong>area of a compound figure<\/strong>, we <strong>divide it into known shapes<\/strong>, calculate each area, and then <strong>add or subtract<\/strong> as needed.<\/li>\n<\/ul>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"has-text-color has-link-color has-fixed-layout\" style=\"color:#000060\"><tbody><tr><td>\ud83d\udd39 A<strong>rea Formulas to Remember<\/strong><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Triangle:<\/strong>       Area=1\/2\u00d7base\u00d7height<\/li>\n\n\n\n<li><strong>Circle:<\/strong>              Area=\u03c0r<sup>2<\/sup><\/li>\n\n\n\n<li><strong>Semicircle (half circle):<\/strong>          Area=1\/2\u03c0r<sup>2<\/sup><\/li>\n\n\n\n<li><strong>Quarter Circle (one-fourth of circle):<\/strong>       Area=1\/4\u03c0r<sup>2<\/sup><\/li>\n<\/ul>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"has-text-color has-link-color has-fixed-layout\" style=\"color:#000060\"><tbody><tr><td><strong>\ud83d\udd39Steps to Solve Compound Figures<\/strong><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Identify the shapes<\/strong> inside the figure.<\/li>\n\n\n\n<li><strong>Divide<\/strong> the figure into known shapes (triangle, semicircle, quarter circle, etc.).<\/li>\n\n\n\n<li><strong>Apply the correct area formulas<\/strong> for each part.<\/li>\n\n\n\n<li><strong>Add areas<\/strong> if shapes are joined together.<\/li>\n\n\n\n<li><strong>Subtract areas<\/strong> if a part is removed or cut out.<\/li>\n<\/ul>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"has-text-color has-link-color has-fixed-layout\" style=\"color:#000060\"><tbody><tr><td><strong>\ud83d\udd39 Example Problems<\/strong><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<h3 class=\"wp-block-heading has-normal-font-size\"><strong>\u2728 Example 1: Triangle + Semicircle<\/strong><\/h3>\n\n\n\n<p>A figure has a triangle of base 10 cm and height 6 cm. A semicircle of radius 5 cm is attached to one side of the triangle.<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Area of triangle = 1\/2\u00d710\u00d76=30\u2009cm<sup>2<\/sup><\/li>\n\n\n\n<li>Area of semicircle = 1\/2\u03c0(5<sup>2<\/sup>)=1\/2\u00d73.14\u00d725=39.25\u2009cm<sup>2<\/sup><\/li>\n\n\n\n<li>Total area = 30+39.25=69.25\u2009cm<sup>2<\/sup><\/li>\n<\/ul>\n\n\n\n<p><strong>\u2728 Example 2: Square with Quarter Circles in Corners<\/strong><\/p>\n\n\n\n<p>A square of side 14 cm has quarter circles drawn in each corner (radius 7 cm). Find the area left inside the square.<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Area of square = 14\u00d714=196\u2009cm<sup>2<\/sup><\/li>\n\n\n\n<li>Area of one quarter circle = 1\/4\u03c0(7<sup>2<\/sup>)=14\u00d73.14\u00d749=38.465\u2009cm<sup>2<\/sup><\/li>\n\n\n\n<li>4 quarter circles = 4\u00d738.465=153.86\u2009cm<sup>2<\/sup><\/li>\n\n\n\n<li>Remaining area = 196\u2212153.86=42.14\u2009cm<sup>2<\/sup><\/li>\n<\/ul>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"has-text-color has-link-color has-fixed-layout\" style=\"color:#000060\"><tbody><tr><td><strong>\u2728 Key Points to<\/strong> <strong>Remember<\/strong><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Always <strong>draw and label<\/strong> the figure clearly.<\/li>\n\n\n\n<li>Use the correct <strong>radius (r)<\/strong> for circles and <strong>base, height<\/strong> for triangles.<\/li>\n\n\n\n<li><strong>Add areas<\/strong> when shapes are combined.<\/li>\n\n\n\n<li><strong>Subtract areas<\/strong> when a part is cut out.<\/li>\n\n\n\n<li>Use <strong>\u03c0 = 3.14<\/strong> (or 22\/7) depending on the question.<\/li>\n<\/ul>\n\n\n\n<p class=\"has-text-align-center has-text-color has-large-font-size\" style=\"color:#105000\"><strong>Learn with an example<\/strong><\/p>\n\n\n\n<div class=\"wp-block-group has-primary-color has-text-color has-background has-normal-font-size\" style=\"background-color:#d6ddf6\"><div class=\"wp-block-group__inner-container is-layout-flow wp-block-group-is-layout-flow\">\n<div class=\"wp-block-group has-primary-color has-background-background-color has-text-color has-background\"><div class=\"wp-block-group__inner-container is-layout-flow wp-block-group-is-layout-flow\">\n<p class=\"has-text-color\" style=\"color:#b00012\">\u25b6\ufe0f <strong>What&nbsp;is the area of this&nbsp;figure?<\/strong><\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full is-resized\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/02\/Untitled-design-1-5.png\" alt=\"\" class=\"wp-image-5292\" style=\"aspect-ratio:1;width:400px;height:auto\" srcset=\"https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/02\/Untitled-design-1-5.png 500w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/02\/Untitled-design-1-5-300x300.png 300w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/02\/Untitled-design-1-5-150x150.png 150w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/02\/Untitled-design-1-5-400x400.png 400w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/figure><\/div>\n\n\n<p><em>Write&nbsp;your answer using decimals. Use 3.14 for&nbsp;\u200b\ud835\udf0b.<\/em>&nbsp;square&nbsp;<\/p>\n\n\n\n<p>_______ centimetres<\/p>\n<\/div><\/div>\n\n\n\n<p>Divide&nbsp;the figure into separate&nbsp;shapes:<\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full is-resized\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/12\/image-removebg-preview-2023-12-14T123302.307.png\" alt=\"\" class=\"wp-image-10305\" style=\"aspect-ratio:1;width:430px;height:auto\" srcset=\"https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/12\/image-removebg-preview-2023-12-14T123302.307.png 500w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/12\/image-removebg-preview-2023-12-14T123302.307-300x300.png 300w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/12\/image-removebg-preview-2023-12-14T123302.307-150x150.png 150w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/12\/image-removebg-preview-2023-12-14T123302.307-400x400.png 400w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/figure><\/div>\n\n\n<p>Start&nbsp;with rectangle&nbsp;A.&nbsp;Rectangle&nbsp;A&nbsp;is&nbsp;24&nbsp;centimetres wide and&nbsp;7&nbsp;centimetres&nbsp;tall.<\/p>\n\n\n\n<p>Multiply:<\/p>\n\n\n\n<p>24 . 7 = 168<\/p>\n\n\n\n<p>The&nbsp;area of rectangle&nbsp;A&nbsp;is&nbsp;168&nbsp;cm<sup>2<\/sup>.<\/p>\n\n\n\n<p>Look&nbsp;at rectangle&nbsp;C.&nbsp;Rectangle&nbsp;C&nbsp;is&nbsp;4&nbsp;centimetres wide and&nbsp;5&nbsp;centimetres&nbsp;tall.<\/p>\n\n\n\n<p>Multiply:<\/p>\n\n\n\n<p>4 . 5 = 20<\/p>\n\n\n\n<p>The&nbsp;area of rectangle&nbsp;C&nbsp;is&nbsp;20&nbsp;cm<sup>2<\/sup>.<\/p>\n\n\n\n<p>Look&nbsp;at quarter circle&nbsp;D.&nbsp;Quarter circle&nbsp;D&nbsp;has a radius of&nbsp;8&nbsp;centimetres.<\/p>\n\n\n\n<p>Solve&nbsp;for the area of quarter circle&nbsp;D.<\/p>\n\n\n\n<p>3.14 . 8<sup>2<\/sup> \/ 4 = 50 . 24<\/p>\n\n\n\n<p>The&nbsp;area of quarter circle&nbsp;D&nbsp;is&nbsp;50.24&nbsp;cm<sup>2<\/sup>.<\/p>\n\n\n\n<p>Now&nbsp;add the areas of all the&nbsp;shapes.<\/p>\n\n\n\n<p>168&nbsp;cm<sup>2<\/sup> + 154&nbsp;cm<sup>2 <\/sup> + 20&nbsp;cm<sup>2<\/sup> + 50.24&nbsp;cm<sup>2<\/sup> = 392.24&nbsp;cm<sup>2<\/sup><\/p>\n\n\n\n<p>The area is 392.24 square centimetres.<\/p>\n<\/div><\/div>\n\n\n\n<div class=\"wp-block-group has-primary-color has-text-color has-background has-normal-font-size\" style=\"background-color:#ffd3fa\"><div class=\"wp-block-group__inner-container is-layout-flow wp-block-group-is-layout-flow\">\n<div class=\"wp-block-group has-primary-color has-background-background-color has-text-color has-background\"><div class=\"wp-block-group__inner-container is-layout-flow wp-block-group-is-layout-flow\">\n<p class=\"has-text-color\" style=\"color:#b00012\">\u25b6\ufe0f <strong>What&nbsp;is the area of this&nbsp;figure?<\/strong><\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full is-resized\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/02\/Untitled-design-3-3.png\" alt=\"\" class=\"wp-image-5294\" style=\"aspect-ratio:1;width:452px;height:auto\" srcset=\"https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/02\/Untitled-design-3-3.png 500w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/02\/Untitled-design-3-3-300x300.png 300w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/02\/Untitled-design-3-3-150x150.png 150w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/02\/Untitled-design-3-3-400x400.png 400w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/figure><\/div>\n\n\n<p>Write&nbsp;your answer using decimals. Use 3.14 for&nbsp;\u200b\ud835\udf0b.&nbsp;square&nbsp;<\/p>\n\n\n\n<p>______ millimetres<\/p>\n<\/div><\/div>\n\n\n\n<p>Divide&nbsp;the figure into separate&nbsp;shapes:<\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full is-resized\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/02\/Untitled-design-4-3.png\" alt=\"\" class=\"wp-image-5295\" style=\"aspect-ratio:1;width:430px;height:auto\" srcset=\"https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/02\/Untitled-design-4-3.png 500w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/02\/Untitled-design-4-3-300x300.png 300w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/02\/Untitled-design-4-3-150x150.png 150w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/02\/Untitled-design-4-3-400x400.png 400w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/figure><\/div>\n\n\n<p>Start&nbsp;with rectangle&nbsp;A.&nbsp;Rectangle&nbsp;A&nbsp;is&nbsp;11&nbsp;millimetres wide and&nbsp;22&nbsp;millimetres&nbsp;tall.<\/p>\n\n\n\n<p>Multiply:<\/p>\n\n\n\n<p>11 . 22 = 242<\/p>\n\n\n\n<p>The&nbsp;area of rectangle&nbsp;A&nbsp;is&nbsp;242&nbsp;mm<sup>2<\/sup>.<\/p>\n\n\n\n<p>Look&nbsp;at rectangle&nbsp;B.&nbsp;Rectangle&nbsp;B&nbsp;is&nbsp;3&nbsp;millimetres wide and&nbsp;7&nbsp;millimetres&nbsp;tall.<\/p>\n\n\n\n<p>Multiply:<\/p>\n\n\n\n<p>3. 7 = 21<\/p>\n\n\n\n<p>The&nbsp;area of rectangle&nbsp;B&nbsp;is&nbsp;21&nbsp;mm<sup>2<\/sup>.<\/p>\n\n\n\n<p>Look&nbsp;at rectangle&nbsp;C.&nbsp;Rectangle&nbsp;C&nbsp;is&nbsp;4&nbsp;millimetres wide and&nbsp;3&nbsp;millimetres&nbsp;tall.<\/p>\n\n\n\n<p>Multiply:<\/p>\n\n\n\n<p>4 . 3 = 12<\/p>\n\n\n\n<p>The&nbsp;area of rectangle&nbsp;C&nbsp;is&nbsp;12&nbsp;mm<sup>2<\/sup>.<\/p>\n\n\n\n<p>Look&nbsp;at semicircle&nbsp;D.&nbsp;Semicircle&nbsp;D&nbsp;has a diameter of&nbsp;18&nbsp;millimetres, which gives it a radius of&nbsp;9&nbsp;millimetres.<\/p>\n\n\n\n<p>Solve&nbsp;for the area of semicircle&nbsp;D.<\/p>\n\n\n\n<p>3 . 14 . 9<sup>2<\/sup> \/ 2 = = 127.17<\/p>\n\n\n\n<p>The&nbsp;area of semicircle&nbsp;D&nbsp;is&nbsp;127.17&nbsp;mm<sup>2<\/sup>.<\/p>\n\n\n\n<p>Now&nbsp;add the areas of all the&nbsp;shapes.<\/p>\n\n\n\n<p>242&nbsp;mm<sup>2<\/sup> + 21&nbsp;mm<sup>2<\/sup> + 12&nbsp;mm<sup>2<\/sup> + 127.17&nbsp;mm<sup>2<\/sup> = 402.17&nbsp;mm<sup>2<\/sup><\/p>\n\n\n\n<p>The area is 402.17 square millimetres.<\/p>\n<\/div><\/div>\n\n\n\n<div class=\"wp-block-group has-primary-color has-text-color has-background has-normal-font-size\" style=\"background-color:#fad0d0\"><div class=\"wp-block-group__inner-container is-layout-flow wp-block-group-is-layout-flow\">\n<div class=\"wp-block-group has-primary-color has-background-background-color has-text-color has-background\"><div class=\"wp-block-group__inner-container is-layout-flow wp-block-group-is-layout-flow\">\n<p class=\"has-text-color\" style=\"color:#b00012\">\u25b6\ufe0f <strong>What&nbsp;is the area of this&nbsp;figure?<\/strong><\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full is-resized\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/02\/Untitled-design-5-4.png\" alt=\"\" class=\"wp-image-5296\" style=\"aspect-ratio:1;width:461px;height:auto\" srcset=\"https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/02\/Untitled-design-5-4.png 500w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/02\/Untitled-design-5-4-300x300.png 300w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/02\/Untitled-design-5-4-150x150.png 150w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/02\/Untitled-design-5-4-400x400.png 400w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/figure><\/div>\n\n\n<p>Write&nbsp;your answer using decimals. Use 3.14 for&nbsp;\u200b\ud835\udf0b.&nbsp;<\/p>\n\n\n\n<p>________ square&nbsp;kilometres<\/p>\n<\/div><\/div>\n\n\n\n<p>Divide&nbsp;the figure into separate&nbsp;shapes:<\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full is-resized\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/02\/Untitled-design-6-3.png\" alt=\"\" class=\"wp-image-5297\" style=\"aspect-ratio:1;width:418px;height:auto\" srcset=\"https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/02\/Untitled-design-6-3.png 500w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/02\/Untitled-design-6-3-300x300.png 300w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/02\/Untitled-design-6-3-150x150.png 150w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/02\/Untitled-design-6-3-400x400.png 400w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/figure><\/div>\n\n\n<p>Start&nbsp;with rectangle&nbsp;A.&nbsp;Rectangle&nbsp;A&nbsp;is&nbsp;8&nbsp;kilometres wide and&nbsp;22&nbsp;kilometres&nbsp;tall.<\/p>\n\n\n\n<p>Multiply:<\/p>\n\n\n\n<p>8 . 22 = 176<\/p>\n\n\n\n<p>The&nbsp;area of rectangle&nbsp;A&nbsp;is&nbsp;176&nbsp;km<sup>2<\/sup>.<\/p>\n\n\n\n<p>Look&nbsp;at rectangle&nbsp;B.&nbsp;Rectangle&nbsp;B&nbsp;is&nbsp;10&nbsp;kilometres wide and&nbsp;5&nbsp;kilometres&nbsp;tall.<\/p>\n\n\n\n<p>Multiply:<\/p>\n\n\n\n<p>10 . 5 = 50<\/p>\n\n\n\n<p>The&nbsp;area of rectangle&nbsp;B&nbsp;is&nbsp;50&nbsp;km<sup>2<\/sup>.<\/p>\n\n\n\n<p>Look&nbsp;at semicircle&nbsp;C.&nbsp;Semicircle&nbsp;C&nbsp;has a diameter of&nbsp;24&nbsp;kilometres, which gives it a radius of&nbsp;12&nbsp;kilometres.<\/p>\n\n\n\n<p>Solve&nbsp;for the area of semicircle&nbsp;C.<\/p>\n\n\n\n<p>3.14 . 12<sup>2<\/sup> \/ 2 = 226.08<\/p>\n\n\n\n<p>The&nbsp;area of semicircle&nbsp;C&nbsp;is&nbsp;226.08&nbsp;km<sup>2<\/sup>.<\/p>\n\n\n\n<p>Now&nbsp;add the areas of all the&nbsp;shapes.<\/p>\n\n\n\n<p>176&nbsp;km<sup>2<\/sup> + 50&nbsp;km<sup>2<\/sup> + 226.08&nbsp;km<sup>2<\/sup> = 452.08&nbsp;km<sup>2<\/sup><\/p>\n\n\n\n<p>The area is 452.08 square kilometres.<\/p>\n<\/div><\/div>\n\n\n\n<p class=\"has-text-color has-large-font-size\" style=\"color:#d90000\">Let&#8217;s practice!\ud83d\udd8a\ufe0f<\/p>\n\n\n\n<div class=\"wp-block-columns is-layout-flex wp-container-core-columns-is-layout-9d6595d7 wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\n<figure class=\"wp-block-image size-full\"><a href=\"https:\/\/wordwall.net\/play\/101665\/380\/693\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-2-133.png\" alt=\"\" class=\"wp-image-6896\" srcset=\"https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-2-133.png 500w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-2-133-300x300.png 300w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-2-133-150x150.png 150w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-2-133-400x400.png 400w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/a><\/figure>\n<\/div>\n\n\n\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\n<figure class=\"wp-block-image size-full\"><a href=\"https:\/\/wordwall.net\/play\/101665\/874\/658\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-1-135.png\" alt=\"\" class=\"wp-image-6897\" srcset=\"https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-1-135.png 500w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-1-135-300x300.png 300w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-1-135-150x150.png 150w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-1-135-400x400.png 400w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/a><\/figure>\n<\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>Area of compound figures with triangles, semicircles and quarter circles Key Notes : \ud83d\udd39What are Compound Figures? \ud83d\udd39 Area Formulas to Remember \ud83d\udd39Steps to Solve Compound Figures \ud83d\udd39 Example Problems \u2728 Example 1: Triangle + Semicircle A figure has a triangle of base 10 cm and height 6 cm. A semicircle of radius 5 cm<a class=\"more-link\" href=\"https:\/\/7thclass.deltapublications.in\/index.php\/w-9-area-of-compound-figures-with-triangles-semicircles-and-quarter-circles\/\">Continue reading <span class=\"screen-reader-text\">&#8220;W.9 Area of compound figures with triangles, semicircles and quarter circles&#8221;<\/span><\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"om_disable_all_campaigns":false,"footnotes":""},"class_list":["post-457","page","type-page","status-publish","hentry","entry"],"aioseo_notices":[],"aioseo_head":"\n\t\t<!-- All in One SEO 5.0.1.1 - aioseo.com -->\n\t<meta name=\"description\" content=\"Area of compound figures with triangles, semicircles and quarter circles Key Notes : A compound figure (or composite figure) is a shape made up of two or more simple shapes. 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To find the area of a compound figure, we divide it into known","og:url":"https:\/\/7thclass.deltapublications.in\/index.php\/w-9-area-of-compound-figures-with-triangles-semicircles-and-quarter-circles\/","og:image":"https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/02\/cropped-Untitled_design__42_-removebg-preview.png","og:image:secure_url":"https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/02\/cropped-Untitled_design__42_-removebg-preview.png","article:published_time":"2022-04-12T10:38:20+00:00","article:modified_time":"2025-11-10T09:06:18+00:00","twitter:card":"summary","twitter:title":"W.9 Area of compound figures with triangles, semicircles and quarter circles - 7th Class","twitter:description":"Area of compound figures with triangles, semicircles and quarter circles Key Notes : A compound figure (or composite figure) is a shape made up of two or more simple shapes. Examples of simple shapes: triangle, square, rectangle, circle, semicircle, quarter circle, trapezium. To find the area of a compound figure, we divide it into known","twitter:image":"https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/02\/cropped-Untitled_design__42_-removebg-preview.png"},"aioseo_meta_data":{"post_id":"457","title":null,"description":null,"keywords":null,"keyphrases":{"focus":{"keyphrase":"","score":0,"analysis":{"keyphraseInTitle":{"score":0,"maxScore":9,"error":1}}},"additional":[]},"primary_term":null,"canonical_url":null,"og_title":null,"og_description":null,"og_object_type":"default","og_image_type":"default","og_image_url":null,"og_image_width":null,"og_image_height":null,"og_image_custom_url":null,"og_image_custom_fields":null,"og_video":"","og_custom_url":null,"og_article_section":null,"og_article_tags":null,"twitter_use_og":false,"twitter_card":"default","twitter_image_type":"default","twitter_image_url":null,"twitter_image_custom_url":null,"twitter_image_custom_fields":null,"twitter_title":null,"twitter_description":null,"schema":{"blockGraphs":[],"customGraphs":[],"default":{"data":{"Article":[],"Course":[],"Dataset":[],"FAQPage":[],"Movie":[],"Person":[],"Product":[],"ProductReview":[],"Car":[],"Recipe":[],"Service":[],"SoftwareApplication":[],"WebPage":{"id":"#aioseo-web-page-6735cec454daf","slug":"web-page","graphName":"WebPage","label":"Web Page","properties":{"type":"WebPage","name":"","description":""}}},"graphName":"WebPage","isEnabled":true},"graphs":[]},"schema_type":"default","schema_type_options":"{\"article\":{\"articleType\":\"BlogPosting\"},\"course\":{\"name\":\"\",\"description\":\"\",\"provider\":\"\"},\"faq\":{\"pages\":[]},\"product\":{\"reviews\":[]},\"recipe\":{\"ingredients\":[],\"instructions\":[],\"keywords\":[]},\"software\":{\"reviews\":[],\"operatingSystems\":[]},\"webPage\":{\"webPageType\":\"WebPage\"}}","pillar_content":false,"robots_default":true,"robots_noindex":false,"robots_noarchive":false,"robots_nosnippet":false,"robots_nofollow":false,"robots_noimageindex":false,"robots_noodp":false,"robots_notranslate":false,"robots_max_snippet":"-1","robots_max_videopreview":"-1","robots_max_imagepreview":"large","priority":null,"frequency":"default","local_seo":null,"breadcrumb_settings":null,"limit_modified_date":false,"ai":{"faqs":[],"keyPoints":[],"titles":[],"descriptions":[],"socialPosts":{"email":[],"linkedin":[],"twitter":[],"facebook":[],"instagram":[]}},"created":"2022-04-12 10:38:20","updated":"2025-11-10 09:07:38","seo_analyzer_scan_date":null,"focus_keyword":null,"additional_keywords":null,"truseo_locale":null},"aioseo_breadcrumb":"<div class=\"aioseo-breadcrumbs\"><span class=\"aioseo-breadcrumb\">\n\t\t\t<a href=\"https:\/\/7thclass.deltapublications.in\" title=\"Home\">Home<\/a>\n\t\t<\/span><span class=\"aioseo-breadcrumb-separator\">&raquo;<\/span><span class=\"aioseo-breadcrumb\">\n\t\t\tW.9 Area of compound figures with triangles, semicircles and quarter circles\n\t\t<\/span><\/div>","aioseo_breadcrumb_json":[{"label":"Home","link":"https:\/\/7thclass.deltapublications.in"},{"label":"W.9 Area of compound figures with triangles, semicircles and quarter circles","link":"https:\/\/7thclass.deltapublications.in\/index.php\/w-9-area-of-compound-figures-with-triangles-semicircles-and-quarter-circles\/"}],"_links":{"self":[{"href":"https:\/\/7thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/457","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/7thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/7thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/7thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/7thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/comments?post=457"}],"version-history":[{"count":20,"href":"https:\/\/7thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/457\/revisions"}],"predecessor-version":[{"id":17569,"href":"https:\/\/7thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/457\/revisions\/17569"}],"wp:attachment":[{"href":"https:\/\/7thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/media?parent=457"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}