{"id":825949,"date":"2024-05-09T18:17:44","date_gmt":"2024-05-09T12:47:44","guid":{"rendered":"https:\/\/leverageedu.com\/discover\/?p=825949"},"modified":"2024-05-09T18:17:44","modified_gmt":"2024-05-09T12:47:44","slug":"basic-concepts-find-the-area-of-the-shaded-region","status":"publish","type":"post","link":"https:\/\/leverageedu.com\/discover\/school-education\/basic-concepts-find-the-area-of-the-shaded-region\/","title":{"rendered":"Find the Area of the Shaded Region: Square, Rectangle, Circle and Triangle\u00a0"},"content":{"rendered":"\n<p>When dealing with shaded regions in geometry, finding their area can be a known mathematical problem. Whether it is a square, rectangle, circle, or triangle, you need to know how to find the area of the shaded region. Moreover, these Formulas come in use in different mathematical as well as real-world applications. Read on to learn more about the Area of the Shaded Region of different shapes as well as their examples and solutions.&nbsp;<\/p>\n\n\n\n\n\n\n<p><\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"h-what-is-the-formula-for-the-area-of-the-shaded-region\">What is the Formula for the Area of the Shaded Region?<\/h2>\n\n\n\n<p>The formula for finding the Area of a Shaded region depends on the shape of the region. Moreover, here are the basic formulas for some common geometric shapes:<\/p>\n\n\n\n<p><strong>Square:<\/strong>&nbsp;<\/p>\n\n\n\n<p>Area of Shaded Region=Area of Square\u2212Area of Inscribed Shape<\/p>\n\n\n\n<p><strong>Rectangle:&nbsp;<\/strong><\/p>\n\n\n\n<p>Area of Shaded Region=Area of Rectangle\u2212Area of Inscribed Shape<\/p>\n\n\n\n<p><strong>Circle:&nbsp;<\/strong><\/p>\n\n\n\n<p>Area of Shaded Region=Area of Circle\u2212Area of Inscribed Shape<\/p>\n\n\n\n<p><strong>Triangle:&nbsp;<\/strong><\/p>\n\n\n\n<p>Area of Shaded Region=Area of Triangle\u2212Area of Inscribed Shape<\/p>\n\n\n\n<p class=\"has-very-light-gray-to-cyan-bluish-gray-gradient-background has-background\"><strong>Also Read: <\/strong><strong>Area and Perimeter Questions<\/strong><\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"h-how-to-find-the-area-of-the-shaded-region\">How to find the Area of the Shaded Region?<\/h2>\n\n\n\n<p>Additionally, to calculate the area of the Shaded region accurately, you will need to follow these steps:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Identify the Shapes:<\/strong> Determine the shapes in the problem, such as squares, rectangles, circles, or triangles.<\/li>\n<\/ul>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Calculate Individual Areas:<\/strong> Find the area of each shape using the appropriate formulas.<\/li>\n<\/ul>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Subtract Areas:<\/strong> Subtract the area of the smaller shape from the area of the larger shape to Find the Area of the Shaded region.<\/li>\n<\/ul>\n\n\n\n<p class=\"has-very-light-gray-to-cyan-bluish-gray-gradient-background has-background\"><strong>Also Read: <\/strong><strong>What is the Difference Between Volume and Area?<\/strong><\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"h-find-the-area-of-the-shaded-region-of-a-square\">Find the Area of the Shaded Region of a Square<\/h2>\n\n\n\n<p>Consider a Square with a side length of 10 units. Inside this square, there is another smaller square inscribed with a side length of 6 units. To Find the Area of the Shaded Region:<\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li>Calculate Areas:\n<ul class=\"wp-block-list\">\n<li>Area of Larger Square = 10\u00d710=100 square units.<\/li>\n\n\n\n<li>Area of Smaller Square = 6\u00d76=36 square units.<\/li>\n<\/ul>\n<\/li>\n<\/ol>\n\n\n\n<ol class=\"wp-block-list\" start=\"2\">\n<li>Subtract Areas:\n<ul class=\"wp-block-list\">\n<li>Area of Shaded Region = 100\u221236=64 square units.<\/li>\n<\/ul>\n<\/li>\n<\/ol>\n\n\n\n<p>Thus, the Area of the shaded region in this example is 64 square units.<\/p>\n\n\n\n<p class=\"has-very-light-gray-to-cyan-bluish-gray-gradient-background has-background\"><strong>Also Read: <\/strong><strong>Geometry Questions for GMAT Quant Section<\/strong><\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"h-find-the-area-of-the-shaded-region-of-a-rectangle\">Find the Area of the Shaded Region of a Rectangle<\/h2>\n\n\n\n<p>Suppose we have a Rectangle with dimensions 12 units by 8 units. Inside this rectangle, there is another smaller rectangle with dimensions 6 units by 4 units. To Find the Area of the Shaded Region:<\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li>Calculate Areas:\n<ul class=\"wp-block-list\">\n<li>Area of Larger Rectangle = 12\u00d78=96 square units.<\/li>\n\n\n\n<li>Area of Smaller Rectangle = 6\u00d74=24 square units.<\/li>\n<\/ul>\n<\/li>\n<\/ol>\n\n\n\n<ol class=\"wp-block-list\" start=\"2\">\n<li>Subtract Areas:\n<ul class=\"wp-block-list\">\n<li>Area of Shaded Region = 96\u221224=72 square units.<\/li>\n<\/ul>\n<\/li>\n<\/ol>\n\n\n\n<p>Thus, the Area of the shaded region in this case is 72 square units.<\/p>\n\n\n\n<p class=\"has-very-light-gray-to-cyan-bluish-gray-gradient-background has-background\"><strong>Also Read: <\/strong><a href=\"https:\/\/leverageedu.com\/discover\/school-education\/basic-concepts-curved-surface-area-of-cylinder\/\"><strong>Curved Surface Area of Cylinder: Formula, Examples<\/strong><\/a><\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"h-find-the-area-of-the-shaded-region-of-a-circle\">Find the Area of the Shaded Region of a Circle<\/h2>\n\n\n\n<p>Imagine a Circle with a radius of 5 units. Inside this circle, there is another smaller circle with a radius of 3 units. To Find the Area of the Shaded region:<\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li>Calculate Areas:\n<ul class=\"wp-block-list\">\n<li>Area of a Larger Circle = \ud835\udf45 \u2715 5<sup>2&nbsp; <\/sup>= 25\ud835\udf45 square units (using the formula \ud835\udf45r<sup>2 <\/sup>).&nbsp;<\/li>\n\n\n\n<li>Area of Smaller Circle = \ud835\udf45 \u2715 3<sup>2&nbsp; <\/sup>= 9\ud835\udf45 square units.&nbsp;<\/li>\n<\/ul>\n<\/li>\n<\/ol>\n\n\n\n<ol class=\"wp-block-list\" start=\"2\">\n<li>Subtract Areas:\n<ul class=\"wp-block-list\">\n<li>Area of Shaded Region = 25\ud835\udf45 &#8211; 9\ud835\udf45 = 16\ud835\udf45 square units.&nbsp;<\/li>\n<\/ul>\n<\/li>\n<\/ol>\n\n\n\n<p>Hence, the Area of the shaded region in this instance is 16\ud835\udf45 square units.<\/p>\n\n\n\n<p class=\"has-very-light-gray-to-cyan-bluish-gray-gradient-background has-background\"><strong>Also Read: <\/strong><a href=\"https:\/\/leverageedu.com\/discover\/indian-exams\/exam-prep-area-and-perimeter-questions\/\"><strong>40 + Area and Perimeter Questions with Answers<\/strong><\/a><\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"h-find-the-area-of-the-shaded-region-of-a-triangle\">Find the Area of the Shaded Region of a Triangle<\/h2>\n\n\n\n<p>Consider a Triangle with a base of 10 units and a height of 8 units. Inside this triangle, there is another smaller triangle with a base of 6 units and a height of 4 units. To calculate the Area of the shaded region:&nbsp;<\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li>Calculate Areas:\n<ul class=\"wp-block-list\">\n<li>Area of Larger Triangle = \u00bd \u2715 10 \u2715 8 = 40 square units.&nbsp;<\/li>\n\n\n\n<li>Area of Smaller Triangle = \u00bd \u2715 6 \u2715 4 = 12 square units.&nbsp;<\/li>\n<\/ul>\n<\/li>\n<\/ol>\n\n\n\n<ol class=\"wp-block-list\" start=\"2\">\n<li>Subtract Areas:\n<ul class=\"wp-block-list\">\n<li>Area of Shaded Region = 40 &#8211; 12 = 28 square units.&nbsp;<\/li>\n<\/ul>\n<\/li>\n<\/ol>\n\n\n\n<p>Therefore, the Area of the Shaded Region is 28 square units.\u00a0<\/p>\n\n\n\n<p class=\"has-very-light-gray-to-cyan-bluish-gray-gradient-background has-background\"><strong>Also Read: <\/strong><a href=\"https:\/\/leverageedu.com\/discover\/school-education\/basic-concepts-cross-sectional-area\/\"><strong>Cross-Sectional Area of Different Shapes with Formula<\/strong><\/a><\/p>\n\n\n\n<p class=\"has-text-align-center has-vivid-red-color has-text-color has-link-color has-medium-font-size wp-elements-b9eb360a4bc4bdaa3c4feb84a1bd0d67\"><strong>Related Blogs\u00a0<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-table\"><table><tbody><tr><td><a href=\"https:\/\/leverageedu.com\/discover\/school-education\/basic-concepts-types-of-fractions\/\"><strong>7 Types of Fractions with Examples<\/strong><\/a><\/td><td><a href=\"https:\/\/leverageedu.com\/discover\/school-education\/basic-concepts-what-are-co-prime-numbers\/\"><strong>What are Co Prime Numbers?<\/strong><\/a><\/td><\/tr><tr><td><a href=\"https:\/\/leverageedu.com\/discover\/school-education\/basic-concepts-how-to-find-percentage-of-marks\/\"><strong>How to Find Percentage of Marks?<\/strong><\/a><\/td><td><a href=\"https:\/\/leverageedu.com\/discover\/school-education\/basic-concepts-tables-1-to-20\/\"><strong>Multiplication Tables of 1 to 20<\/strong><\/a><\/td><\/tr><tr><td><a href=\"https:\/\/leverageedu.com\/discover\/school-education\/basic-concepts-ordinal-numbers\/\"><strong>Ordinal Numbers from 1 to 100!<\/strong><\/a><strong>&nbsp;<\/strong><\/td><td><a href=\"https:\/\/leverageedu.com\/discover\/school-education\/civics-and-polity-table-of-17\/\"><strong>Table of 17: Multiples up to 20 &amp; a Trick!<\/strong><\/a>&nbsp;&nbsp;<\/td><\/tr><tr><td><a href=\"https:\/\/leverageedu.com\/discover\/school-education\/basic-concepts-table-of-12\/\"><strong>Table of 12: Multiples up to 20!<\/strong><\/a><\/td><td><a href=\"https:\/\/leverageedu.com\/discover\/school-education\/basic-concept-hcf-of-two-consecutive-odd-numbers\/\"><strong>What is the HCF of Two Consecutive Odd Numbers?<\/strong><\/a><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p>I hope this helps! Did you like learning about the finding of the area? Keep reading our blogs to learn more about the <a href=\"https:\/\/leverageedu.com\/discover\/category\/school-education\/basic-concepts\/\"><strong>Basic Concepts of Maths<\/strong><\/a>!<\/p>\n","protected":false},"excerpt":{"rendered":"When dealing with shaded regions in geometry, finding their area can be a known mathematical problem. Whether it&hellip;\n","protected":false},"author":106,"featured_media":825952,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_acf_changed":false,"editor_notices":[],"footnotes":""},"categories":[423,476,389],"tags":[],"class_list":{"0":"post-825949","1":"post","2":"type-post","3":"status-publish","4":"format-standard","5":"has-post-thumbnail","7":"category-basic-concepts","8":"category-maths","9":"category-school-education"},"yoast_head":"<!-- This site is optimized with the Yoast SEO Premium plugin v27.3 (Yoast SEO v27.3) - https:\/\/yoast.com\/product\/yoast-seo-premium-wordpress\/ -->\n<title>Find the Area of the Shaded Region: Square, Rectangle, Circle and Triangle\u00a0 - Leverage Edu Discover<\/title>\n<meta name=\"description\" content=\"Read this blog to understand how to find the area of the shaded region of each of the shapes in an easy manner!\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/leverageedu.com\/discover\/school-education\/basic-concepts-find-the-area-of-the-shaded-region\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Find the Area of the Shaded Region: Square, Rectangle, Circle and Triangle\u00a0\" \/>\n<meta property=\"og:description\" content=\"Read this blog to understand how to find the area of the shaded region of each of the shapes in an easy manner!\" \/>\n<meta property=\"og:url\" content=\"https:\/\/leverageedu.com\/discover\/school-education\/basic-concepts-find-the-area-of-the-shaded-region\/\" \/>\n<meta property=\"og:site_name\" content=\"Leverage Edu Discover\" \/>\n<meta property=\"article:published_time\" content=\"2024-05-09T12:47:44+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/blogassets.leverageedu.com\/media\/uploads\/sites\/9\/2024\/05\/14110225\/Find-the-Area-of-the-Shaded-Region.png\" \/>\n\t<meta property=\"og:image:width\" content=\"1024\" \/>\n\t<meta property=\"og:image:height\" content=\"640\" \/>\n\t<meta property=\"og:image:type\" content=\"image\/png\" \/>\n<meta name=\"author\" content=\"Santana Daphne Antunis\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:label1\" content=\"Written by\" \/>\n\t<meta name=\"twitter:data1\" content=\"Santana Daphne Antunis\" \/>\n\t<meta name=\"twitter:label2\" content=\"Est. reading time\" \/>\n\t<meta name=\"twitter:data2\" content=\"4 minutes\" \/>\n<!-- \/ Yoast SEO Premium plugin. -->","yoast_head_json":{"title":"Find the Area of the Shaded Region: Square, Rectangle, Circle and Triangle\u00a0 - 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Talk to me about any topic under the sun, especially sustainability, art, music and photography.","url":"https:\/\/leverageedu.com\/discover\/author\/santana\/"}]}},"acf":[],"_links":{"self":[{"href":"https:\/\/leverageedu.com\/discover\/wp-json\/wp\/v2\/posts\/825949","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/leverageedu.com\/discover\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/leverageedu.com\/discover\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/leverageedu.com\/discover\/wp-json\/wp\/v2\/users\/106"}],"replies":[{"embeddable":true,"href":"https:\/\/leverageedu.com\/discover\/wp-json\/wp\/v2\/comments?post=825949"}],"version-history":[{"count":0,"href":"https:\/\/leverageedu.com\/discover\/wp-json\/wp\/v2\/posts\/825949\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/leverageedu.com\/discover\/wp-json\/wp\/v2\/media\/825952"}],"wp:attachment":[{"href":"https:\/\/leverageedu.com\/discover\/wp-json\/wp\/v2\/media?parent=825949"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/leverageedu.com\/discover\/wp-json\/wp\/v2\/categories?post=825949"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/leverageedu.com\/discover\/wp-json\/wp\/v2\/tags?post=825949"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}