{"id":5345,"date":"2026-06-24T19:53:00","date_gmt":"2026-06-24T14:23:00","guid":{"rendered":"https:\/\/mymockmate.com\/notes\/?p=5345"},"modified":"2026-06-24T19:53:03","modified_gmt":"2026-06-24T14:23:03","slug":"ncert-class-9-maths-exercise-5-1-solutions-circles","status":"publish","type":"post","link":"https:\/\/mymockmate.com\/notes\/ncert-class-9-maths-exercise-5-1-solutions-circles\/","title":{"rendered":"NCERT Class 9 Maths Exercise 5.1 Solutions | Circles"},"content":{"rendered":"<div class=\"mymoc-top mymoc-entity-placement\" id=\"mymoc-2061059598\"><div id=\"mymoc-3054647577\"><a href=\"https:\/\/amzn.to\/440rYSB\" aria-label=\"ssd\"><img src=\"https:\/\/mymockmate.com\/notes\/wp-content\/uploads\/2026\/06\/ssd.png\" alt=\"\" srcset=\"https:\/\/mymockmate.com\/notes\/wp-content\/uploads\/2026\/06\/ssd.png 1303w, https:\/\/mymockmate.com\/notes\/wp-content\/uploads\/2026\/06\/ssd-300x50.png 300w, https:\/\/mymockmate.com\/notes\/wp-content\/uploads\/2026\/06\/ssd-1024x171.png 1024w, https:\/\/mymockmate.com\/notes\/wp-content\/uploads\/2026\/06\/ssd-768x128.png 768w\" sizes=\"(max-width: 1303px) 100vw, 1303px\" width=\"1303\" height=\"218\"><\/a><\/div><\/div><div class=\"pdfprnt-buttons pdfprnt-buttons-post pdfprnt-top-bottom-right\"><a href=\"https:\/\/mymockmate.com\/notes\/wp-json\/wp\/v2\/posts\/5345?print=print\" class=\"pdfprnt-button pdfprnt-button-print\" target=\"_blank\"><img decoding=\"async\" src=\"https:\/\/mymockmate.com\/notes\/wp-content\/plugins\/pdf-print\/images\/print.png\" alt=\"image_print\" title=\"Print Content\"><span class=\"pdfprnt-button-title pdfprnt-button-print-title\">Print<\/span><\/a> <span class=\"pdfprnt-count-generation\">2<\/span><\/div>\n<hr class=\"wp-block-separator has-alpha-channel-opacity\">\n\n\n\n<h2 class=\"wp-block-heading\">Short Introduction<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">A circle is one of the most symmetrical and fascinating geometric shapes. In this exercise, students learn how to construct the <strong>circumcircle<\/strong> of a triangle and understand the concept of the <strong>circumcentre<\/strong>. The exercise also explores circles passing through two or three points and the minimum radius of such circles.<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\">\n\n\n\n<h1 class=\"wp-block-heading\">Quick Information Box<\/h1>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"has-fixed-layout\"><thead><tr><th>Chapter<\/th><th>Circles<\/th><\/tr><\/thead><tbody><tr><td>Exercise<\/td><td>5.1<\/td><\/tr><tr><td>Class<\/td><td>9<\/td><\/tr><tr><td>Topic<\/td><td>Circumcircle and Circumcentre<\/td><\/tr><tr><td>Concepts Used<\/td><td>Perpendicular Bisector, Triangle Construction<\/td><\/tr><tr><td>Difficulty Level<\/td><td>Easy to Moderate<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\">\n\n\n\n<h1 class=\"wp-block-heading\">Concepts Used (Topics Covered)<\/h1>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Circle and its properties<\/li>\n\n\n\n<li>Circumcentre of a triangle<\/li>\n\n\n\n<li>Circumcircle of a triangle<\/li>\n\n\n\n<li>Perpendicular bisector<\/li>\n\n\n\n<li>Acute, obtuse and isosceles triangles<\/li>\n\n\n\n<li>Radius of a circle through two points<\/li>\n<\/ul>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\">\n\n\n\n<h1 class=\"wp-block-heading\">Important Formulas &amp; Facts<\/h1>\n\n\n\n<h3 class=\"wp-block-heading\">1. Circumcentre<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">The point where the perpendicular bisectors of the sides of a triangle intersect.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">2. Circumcircle<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">The circle passing through all three vertices of a triangle.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">3. Radius of Smallest Circle Through Two Points<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">If <math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><semantics><mrow><mi>A<\/mi><mi>B<\/mi><mo>=<\/mo><mi>d<\/mi><\/mrow><annotation encoding=\"application\/x-tex\">AB=d<\/annotation><\/semantics><\/math>,<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\"><semantics><mrow><mi>r<\/mi><mo>=<\/mo><mfrac><mi>d<\/mi><mn>2<\/mn><\/mfrac><\/mrow><annotation encoding=\"application\/x-tex\">r=\\frac{d}{2}<\/annotation><\/semantics><\/math><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">The smallest circle occurs when <math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><semantics><mrow><mi>A<\/mi><mi>B<\/mi><\/mrow><annotation encoding=\"application\/x-tex\">AB<\/annotation><\/semantics><\/math>AB is the diameter.<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\">\n\n\n\n<h1 class=\"wp-block-heading\">Exercise 5.1 Solutions<\/h1>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\">\n\n\n\n<h1 class=\"wp-block-heading\">Question 1<\/h1>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Draw &Delta;ABC with AB = 5 cm, &ang;A = 70&deg; and &ang;B = 60&deg;. Draw the circumcircle of &Delta;ABC. Is the centre inside or outside the triangle?<\/strong><\/p>\n\n\n\n<h2 class=\"wp-block-heading\">Solution<\/h2>\n\n\n\n<h3 class=\"wp-block-heading\"><\/h3>\n\n\n\n<figure class=\"wp-block-image size-large\"><img fetchpriority=\"high\" decoding=\"async\" width=\"1024\" height=\"683\" src=\"https:\/\/mymockmate.com\/notes\/wp-content\/uploads\/2026\/06\/image-228-1024x683.png\" alt=\"\" class=\"wp-image-5349\" srcset=\"https:\/\/mymockmate.com\/notes\/wp-content\/uploads\/2026\/06\/image-228-1024x683.png 1024w, https:\/\/mymockmate.com\/notes\/wp-content\/uploads\/2026\/06\/image-228-300x200.png 300w, https:\/\/mymockmate.com\/notes\/wp-content\/uploads\/2026\/06\/image-228-768x512.png 768w, https:\/\/mymockmate.com\/notes\/wp-content\/uploads\/2026\/06\/image-228-1200x800.png 1200w, https:\/\/mymockmate.com\/notes\/wp-content\/uploads\/2026\/06\/image-228.png 1536w\" sizes=\"(max-width: 1024px) 100vw, 1024px\"><\/figure>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\">\n\n\n\n<h1 class=\"wp-block-heading\">Question 2<\/h1>\n\n\n\n<div class=\"internal-linking-related-contents\"><a href=\"https:\/\/mymockmate.com\/notes\/class-9-maths-exercise-1-1-solutions-coordinate-geometry-ncert-solutions\/\" class=\"template-2\"><span class=\"cta\">Related Topic to Read more<\/span><span class=\"postTitle\">Class 9 Maths Exercise 1.1 Solutions | Coordinate Geometry NCERT Solutions<\/span><\/a><\/div><p class=\"wp-block-paragraph\"><strong>Draw &Delta;ABC with AB = 5 cm, &ang;A = 100&deg; and AC = 4 cm. Draw the circumcircle of &Delta;ABC. Is the centre inside or outside the triangle?<\/strong><\/p>\n\n\n\n<h2 class=\"wp-block-heading\">Solution<\/h2>\n\n\n\n<h3 class=\"wp-block-heading\"><\/h3>\n\n\n\n<figure class=\"wp-block-image size-large\"><img decoding=\"async\" width=\"1024\" height=\"683\" src=\"https:\/\/mymockmate.com\/notes\/wp-content\/uploads\/2026\/06\/image-229-1024x683.png\" alt=\"\" class=\"wp-image-5352\" srcset=\"https:\/\/mymockmate.com\/notes\/wp-content\/uploads\/2026\/06\/image-229-1024x683.png 1024w, https:\/\/mymockmate.com\/notes\/wp-content\/uploads\/2026\/06\/image-229-300x200.png 300w, https:\/\/mymockmate.com\/notes\/wp-content\/uploads\/2026\/06\/image-229-768x512.png 768w, https:\/\/mymockmate.com\/notes\/wp-content\/uploads\/2026\/06\/image-229-1200x800.png 1200w, https:\/\/mymockmate.com\/notes\/wp-content\/uploads\/2026\/06\/image-229.png 1536w\" sizes=\"(max-width: 1024px) 100vw, 1024px\"><\/figure>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\">\n\n\n\n<h1 class=\"wp-block-heading\">Question 3<\/h1>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Draw &Delta;ABC with AB = 6 cm, BC = 7 cm and CA = 7 cm. Draw the circumcircle of &Delta;ABC. Let the circumcentre be O. Measure OA, OB and OC.<\/strong><\/p>\n\n\n\n<h2 class=\"wp-block-heading\">Solution<\/h2>\n\n\n\n<figure class=\"wp-block-image size-large\"><img decoding=\"async\" width=\"1024\" height=\"683\" src=\"https:\/\/mymockmate.com\/notes\/wp-content\/uploads\/2026\/06\/image-230-1024x683.png\" alt=\"\" class=\"wp-image-5354\" srcset=\"https:\/\/mymockmate.com\/notes\/wp-content\/uploads\/2026\/06\/image-230-1024x683.png 1024w, https:\/\/mymockmate.com\/notes\/wp-content\/uploads\/2026\/06\/image-230-300x200.png 300w, https:\/\/mymockmate.com\/notes\/wp-content\/uploads\/2026\/06\/image-230-768x512.png 768w, https:\/\/mymockmate.com\/notes\/wp-content\/uploads\/2026\/06\/image-230-1200x800.png 1200w, https:\/\/mymockmate.com\/notes\/wp-content\/uploads\/2026\/06\/image-230.png 1536w\" sizes=\"(max-width: 1024px) 100vw, 1024px\"><\/figure>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\">\n\n\n\n<h1 class=\"wp-block-heading\">Question 4<\/h1>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>What is the least possible radius of a circle through two points A and B?<\/strong><\/p>\n\n\n\n<h2 class=\"wp-block-heading\">Solution<\/h2>\n\n\n\n<figure class=\"wp-block-image size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"683\" src=\"https:\/\/mymockmate.com\/notes\/wp-content\/uploads\/2026\/06\/image-231-1024x683.png\" alt=\"\" class=\"wp-image-5356\" srcset=\"https:\/\/mymockmate.com\/notes\/wp-content\/uploads\/2026\/06\/image-231-1024x683.png 1024w, https:\/\/mymockmate.com\/notes\/wp-content\/uploads\/2026\/06\/image-231-300x200.png 300w, https:\/\/mymockmate.com\/notes\/wp-content\/uploads\/2026\/06\/image-231-768x512.png 768w, https:\/\/mymockmate.com\/notes\/wp-content\/uploads\/2026\/06\/image-231-1200x800.png 1200w, https:\/\/mymockmate.com\/notes\/wp-content\/uploads\/2026\/06\/image-231.png 1536w\" sizes=\"(max-width: 1024px) 100vw, 1024px\"><\/figure>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\">\n\n\n\n<h1 class=\"wp-block-heading\">Common Mistakes Students Make<\/h1>\n\n\n\n<p class=\"wp-block-paragraph\">&#10060; Drawing only one perpendicular bisector.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">&#10060; Taking an arbitrary point as the centre.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">&#10060; Forgetting that circumcentre may lie outside the triangle.<\/p>\n\n\n\n<div class=\"internal-linking-related-contents\"><a href=\"https:\/\/mymockmate.com\/notes\/class-9-maths-exercise-1-2-solutions-coordinate-geometry-ncert-solutions\/\" class=\"template-2\"><span class=\"cta\">Related Topic to Read more<\/span><span class=\"postTitle\">NCERT Class 9 Maths Exercise 1.2 Solutions | Coordinate Geometry NCERT Solutions<\/span><\/a><\/div><p class=\"wp-block-paragraph\">&#10060; Measuring unequal radii due to inaccurate construction.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">&#10060; Confusing circumcentre with centroid.<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\">\n\n\n\n<h1 class=\"wp-block-heading\">Exam Tips<\/h1>\n\n\n\n<p class=\"wp-block-paragraph\">&#9989; Remember:<\/p><div class=\"mymoc-middle mymoc-entity-placement\" id=\"mymoc-130655043\"><div id=\"mymoc-4005536982\"><a href=\"https:\/\/amzn.to\/4upqwUD\" aria-label=\"laptop-1\"><img src=\"https:\/\/mymockmate.com\/notes\/wp-content\/uploads\/2026\/06\/laptop-1.png\" alt=\"\" srcset=\"https:\/\/mymockmate.com\/notes\/wp-content\/uploads\/2026\/06\/laptop-1.png 1303w, https:\/\/mymockmate.com\/notes\/wp-content\/uploads\/2026\/06\/laptop-1-300x91.png 300w, https:\/\/mymockmate.com\/notes\/wp-content\/uploads\/2026\/06\/laptop-1-1024x310.png 1024w, https:\/\/mymockmate.com\/notes\/wp-content\/uploads\/2026\/06\/laptop-1-768x233.png 768w\" sizes=\"(max-width: 1303px) 100vw, 1303px\" width=\"1303\" height=\"395\"><\/a><\/div><\/div>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Acute triangle &rarr; circumcentre inside.<\/li>\n\n\n\n<li>Right triangle &rarr; circumcentre at midpoint of hypotenuse.<\/li>\n\n\n\n<li>Obtuse triangle &rarr; circumcentre outside.<\/li>\n<\/ul>\n\n\n\n<p class=\"wp-block-paragraph\">&#9989; The perpendicular bisectors always meet at one point.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">&#9989; Radius of the smallest circle through two points:<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\"><semantics><mrow><mi>r<\/mi><mo>=<\/mo><mfrac><mrow><mi>A<\/mi><mi>B<\/mi><\/mrow><mn>2<\/mn><\/mfrac><\/mrow><annotation encoding=\"application\/x-tex\">r=\\frac{AB}{2}<\/annotation><\/semantics><\/math>r=2AB&#8203;<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\">\n\n\n\n<h1 class=\"wp-block-heading\">Practice MCQs<\/h1>\n\n\n\n<h3 class=\"wp-block-heading\">Q1.<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">The circumcentre of an acute triangle lies:<\/p>\n\n\n\n<div class=\"internal-linking-related-contents\"><a href=\"https:\/\/mymockmate.com\/notes\/class-9-maths-end-of-chapter-exercise-solutions-coordinate-geometry-ncert-solutions\/\" class=\"template-2\"><span class=\"cta\">Related Topic to Read more<\/span><span class=\"postTitle\">NCERT Class 9 Maths End of Chapter Exercise Solutions | Coordinate Geometry<\/span><\/a><\/div><p class=\"wp-block-paragraph\">A. Outside the triangle<br>B. On a side<br>C. Inside the triangle<br>D. At a vertex<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Answer:<\/strong> C<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\">\n\n\n\n<h3 class=\"wp-block-heading\">Q2.<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">The circumcentre of a right triangle lies:<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">A. Inside<br>B. Outside<br>C. At midpoint of hypotenuse<br>D. At centroid<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Answer:<\/strong> C<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\">\n\n\n\n<h3 class=\"wp-block-heading\">Q3.<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">The smallest circle through points A and B has radius:<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">A. AB<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">B. <math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><semantics><mrow><mn>2<\/mn><mi>A<\/mi><mi>B<\/mi><\/mrow><annotation encoding=\"application\/x-tex\">2AB<\/annotation><\/semantics><\/math>2AB<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">C. <math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><semantics><mrow><mfrac><mrow><mi>A<\/mi><mi>B<\/mi><\/mrow><mn>2<\/mn><\/mfrac><\/mrow><annotation encoding=\"application\/x-tex\">\\frac{AB}{2}<\/annotation><\/semantics><\/math>2AB&#8203;<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">D. <math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><semantics><mrow><mfrac><mrow><mi>A<\/mi><mi>B<\/mi><\/mrow><mn>4<\/mn><\/mfrac><\/mrow><annotation encoding=\"application\/x-tex\">\\frac{AB}{4}<\/annotation><\/semantics><\/math>4AB&#8203;<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Answer:<\/strong> C<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\">\n\n\n\n<h3 class=\"wp-block-heading\">Q4.<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">The circumcentre is obtained by intersection of:<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">A. Medians<br>B. Altitudes<br>C. Angle bisectors<br>D. Perpendicular bisectors<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Answer:<\/strong> D<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\">\n\n\n\n<h1 class=\"wp-block-heading\">Frequently Asked Questions (FAQs)<\/h1>\n\n\n\n<h3 class=\"wp-block-heading\">Q1. What is a circumcircle?<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">A circle passing through all three vertices of a triangle.<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\">\n\n\n\n<h3 class=\"wp-block-heading\">Q2. What is the circumcentre?<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">The intersection point of the perpendicular bisectors of the sides of a triangle.<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\">\n\n\n\n<h3 class=\"wp-block-heading\">Q3. Can the circumcentre lie outside a triangle?<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">Yes, in an obtuse-angled triangle.<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\">\n\n\n\n<h3 class=\"wp-block-heading\">Q4. Can three collinear points have a circumcircle?<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">No.<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\">\n\n\n\n<h3 class=\"wp-block-heading\">Q5. Why are OA, OB and OC equal?<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">Because they are radii of the same circle.<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\">\n\n\n\n<h1 class=\"wp-block-heading\">Final Answer Summary<\/h1>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"has-fixed-layout\"><thead><tr><th>Question<\/th><th>Answer<\/th><\/tr><\/thead><tbody><tr><td>Q1<\/td><td>Circumcentre lies inside the triangle<\/td><\/tr><tr><td>Q2<\/td><td>Circumcentre lies outside the triangle<\/td><\/tr><tr><td>Q3<\/td><td>OA = OB = OC<\/td><\/tr><tr><td>Q4<\/td><td>Least radius = AB\/2<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\">\n\n\n\n<h1 class=\"wp-block-heading\">Call To Action (CTA)<\/h1>\n\n\n\n<p class=\"wp-block-paragraph\">&#128218; <strong>Loved these solutions?<\/strong><br>Explore more <strong>NCERT Class 9 Maths Chapter-wise Solutions, Notes, MCQs, and Mock Tests<\/strong> on:<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">&#127760; <strong><a href=\"http:\/\/www.mymockmate.com\">www.mymockmate.com<\/a><\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">&#128640; Learn Smart. Practice More. Score Better with <strong>MyMockMate<\/strong>!<\/p>\n<div class=\"pdfprnt-buttons pdfprnt-buttons-post pdfprnt-top-bottom-right\"><a href=\"https:\/\/mymockmate.com\/notes\/wp-json\/wp\/v2\/posts\/5345?print=print\" class=\"pdfprnt-button pdfprnt-button-print\" target=\"_blank\"><img decoding=\"async\" src=\"https:\/\/mymockmate.com\/notes\/wp-content\/plugins\/pdf-print\/images\/print.png\" alt=\"image_print\" title=\"Print Content\"><span class=\"pdfprnt-button-title pdfprnt-button-print-title\">Print<\/span><\/a> <span class=\"pdfprnt-count-generation\">2<\/span><\/div>\n    <div class=\"xs_social_share_widget xs_share_url after_content \t\tmain_content  wslu-style-1 wslu-share-box-shaped wslu-fill-colored wslu-none wslu-share-horizontal wslu-theme-font-no wslu-main_content\">\n\n\t\t\n        <ul>\n\t\t\t        <\/ul>\n    <\/div> \n<div class=\"mymoc-bottom mymoc-entity-placement\" id=\"mymoc-2776009397\"><div id=\"mymoc-3602717033\"><a href=\"https:\/\/amzn.to\/4v5gV6P\" aria-label=\"calculators\"><img src=\"https:\/\/mymockmate.com\/notes\/wp-content\/uploads\/2026\/06\/calculators.png\" alt=\"\" srcset=\"https:\/\/mymockmate.com\/notes\/wp-content\/uploads\/2026\/06\/calculators.png 1302w, https:\/\/mymockmate.com\/notes\/wp-content\/uploads\/2026\/06\/calculators-300x99.png 300w, https:\/\/mymockmate.com\/notes\/wp-content\/uploads\/2026\/06\/calculators-1024x338.png 1024w, https:\/\/mymockmate.com\/notes\/wp-content\/uploads\/2026\/06\/calculators-768x254.png 768w\" sizes=\"(max-width: 1302px) 100vw, 1302px\" width=\"1302\" height=\"430\"><\/a><\/div><\/div>","protected":false},"excerpt":{"rendered":"<p> 2 Short Introduction A circle is one of the most symmetrical and fascinating geometric shapes. In this<\/p>\n","protected":false},"author":1,"featured_media":5346,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"postBodyCss":"","postBodyMargin":[],"postBodyPadding":[],"postBodyBackground":{"backgroundType":"classic","gradient":""},"footnotes":"","jetpack_publicize_message":"","jetpack_publicize_feature_enabled":true,"jetpack_social_post_already_shared":true,"jetpack_social_options":{"image_generator_settings":{"template":"highway","default_image_id":0,"font":"","enabled":false},"version":2}},"categories":[4,11],"tags":[3563,3564,3566,3565,3567,3568,1170,2432,159],"class_list":["post-5345","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-class-9","category-maths-class-9","tag-chapter-5-exercise-5-1-solutions","tag-circles-class-9","tag-circumcentre","tag-circumcircle-of-triangle","tag-class-9-geometry","tag-exercise-5-1-answers","tag-geometry-solutions","tag-ncert-class-9-maths","tag-ncert-maths-notes"],"featured_image_src":"https:\/\/mymockmate.com\/notes\/wp-content\/uploads\/2026\/06\/NCERT-Class-9-Maths-Chapter-5-Exercise-5.1-Solutions.png","author_info":{"display_name":"Team Mymockmate","author_link":"https:\/\/mymockmate.com\/notes\/author\/bsm_adm\/"},"jetpack_publicize_connections":[],"_links":{"self":[{"href":"https:\/\/mymockmate.com\/notes\/wp-json\/wp\/v2\/posts\/5345","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/mymockmate.com\/notes\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/mymockmate.com\/notes\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/mymockmate.com\/notes\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/mymockmate.com\/notes\/wp-json\/wp\/v2\/comments?post=5345"}],"version-history":[{"count":7,"href":"https:\/\/mymockmate.com\/notes\/wp-json\/wp\/v2\/posts\/5345\/revisions"}],"predecessor-version":[{"id":5357,"href":"https:\/\/mymockmate.com\/notes\/wp-json\/wp\/v2\/posts\/5345\/revisions\/5357"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/mymockmate.com\/notes\/wp-json\/wp\/v2\/media\/5346"}],"wp:attachment":[{"href":"https:\/\/mymockmate.com\/notes\/wp-json\/wp\/v2\/media?parent=5345"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/mymockmate.com\/notes\/wp-json\/wp\/v2\/categories?post=5345"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/mymockmate.com\/notes\/wp-json\/wp\/v2\/tags?post=5345"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}