{"id":4517,"date":"2023-02-15T05:07:52","date_gmt":"2023-02-15T05:07:52","guid":{"rendered":"https:\/\/theexampillar.com\/ncert\/?p=4517"},"modified":"2023-02-15T05:13:33","modified_gmt":"2023-02-15T05:13:33","slug":"ncert-solutions-class-9-maths-chapter-10-circles-ex-10-1","status":"publish","type":"post","link":"https:\/\/theexampillar.com\/ncert\/ncert-solutions-class-9-maths-chapter-10-circles-ex-10-1\/","title":{"rendered":"NCERT Solutions Class 9 Maths Chapter 10 Circles Ex 10.1"},"content":{"rendered":"<h2 style=\"text-align: center;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\">NCERT Solutions Class 9 Maths\u00a0<\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">Chapter &#8211; 10 (Circles)\u00a0<\/span><\/h2>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\">The NCERT Solutions in English Language for Class 9 Mathematics\u00a0<strong>Chapter &#8211; 10 Circles <\/strong>Exercise 10.1 has been provided here to help the students in solving the questions from this exercise.\u00a0<\/span><\/p>\n<p><span style=\"color: #000000;\"><strong>Chapter 10: Circles<\/strong><\/span><\/p>\n<ul>\n<li><a href=\"https:\/\/theexampillar.com\/ncert\/ncert-solutions-class-9-maths-chapter-10-circles-ex-10-2\/\" target=\"_blank\" rel=\"noopener\">NCERT Solution Class 9 Maths Ex &#8211; 10.2<\/a><\/li>\n<li><a href=\"https:\/\/theexampillar.com\/ncert\/ncert-solutions-class-9-maths-chapter-10-circles-ex-10-3\/\" target=\"_blank\" rel=\"noopener\">NCERT Solution Class 9 Maths Ex &#8211; 10.3<\/a><\/li>\n<li><a href=\"https:\/\/theexampillar.com\/ncert\/ncert-solutions-class-9-maths-chapter-10-circles-ex-10-4\/\" target=\"_blank\" rel=\"noopener\">NCERT Solution Class 9 Maths Ex &#8211; 10.4<\/a><\/li>\n<li><a href=\"https:\/\/theexampillar.com\/ncert\/ncert-solutions-class-9-maths-chapter-10-circles-ex-10-5\/\" target=\"_blank\" rel=\"noopener\">NCERT Solution Class 9 Maths Ex &#8211; 10.5<\/a><\/li>\n<li><a href=\"https:\/\/theexampillar.com\/ncert\/ncert-solutions-class-9-maths-chapter-10-circles-ex-10-6\/\" target=\"_blank\" rel=\"noopener\">NCERT Solution Class 9 Maths Ex &#8211; 10.6<\/a><\/li>\n<\/ul>\n<h2 style=\"text-align: center;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\">Exercise &#8211; 10.1<\/span><\/h2>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>1. Fill in the blanks.<br \/>\n<\/strong><strong>(i)<\/strong> The centre of a circle lies in ____________ of the circle. (exterior\/ interior)<br \/>\n<strong>(ii)<\/strong> A point whose distance from the centre of a circle is greater than its radius lies in __________ of the circle. (exterior\/ interior)<br \/>\n<strong>(iii)<\/strong> The longest chord of a circle is a _____________ of the circle.<br \/>\n<strong>(iv)<\/strong> An arc is a ___________ when its ends are the ends of a diameter.<br \/>\n<strong>(v)<\/strong> Segment of a circle is the region between an arc and _____________ of the circle.<br \/>\n<strong>(vi)<\/strong> A circle divides the plane, on which it lies, in _____________ parts.<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>Answer &#8211;<\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>(i)<\/strong> The centre of a circle lies in\u00a0<strong><span style=\"text-decoration: underline;\">interior<\/span>\u00a0<\/strong>of the circle.<br \/>\n<strong>(ii)<\/strong> A point, whose distance from the centre of a circle is greater than its radius lies in\u00a0<strong><span style=\"text-decoration: underline;\">exterior<\/span>\u00a0<\/strong>of the circle.<br \/>\n<strong>(iii)<\/strong> The longest chord of a circle is a\u00a0<span style=\"text-decoration: underline;\"><strong>diameter<\/strong><\/span>\u00a0of the circle.<br \/>\n<strong>(iv)<\/strong> An arc is a\u00a0<strong><span style=\"text-decoration: underline;\">semicircle<\/span>\u00a0<\/strong>when its ends are the ends of a diameter.<br \/>\n<strong>(v)<\/strong> Segment of a circle is the region between an arc and\u00a0<strong><span style=\"text-decoration: underline;\">chord<\/span>\u00a0<\/strong>of the circle.<br \/>\n<strong>(vi)<\/strong> A circle divides the plane, on which it lies, in <span style=\"text-decoration: underline;\"><strong>three<\/strong><\/span>\u00a0parts.<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>2. Write True or False. Give reasons for your solutions.<br \/>\n<\/strong><strong>(i)<\/strong> Line segment joining the centre to any point on the circle is a radius of the circle.<br \/>\n<strong>(ii)<\/strong> A circle has only a finite number of equal chords.<br \/>\n<strong>(iii)<\/strong> If a circle is divided into three equal arcs, each is a major arc.<br \/>\n<strong>(iv)<\/strong> A chord of a circle, which is twice as long as its radius, is the diameter of the circle.<br \/>\n<strong>(v)<\/strong> Sector is the region between the chord and its corresponding arc.<br \/>\n<strong>(vi)<\/strong> A circle is a plane figure.<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>Answer &#8211;<\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>(i)<\/strong> Line segment joining the centre to any point on the circle is a radius of the circle. <strong>(True)<\/strong><br \/>\nAny line segment drawn from the centre of the circle to any point on it is the radius of the circle and will be of equal length.<br \/>\n<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>(ii)<\/strong> A circle has only a finite number of equal chords. <strong>(False)<\/strong><br \/>\nThere can be infinite numbers of equal chords in a circle.<br \/>\n<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>(iii)<\/strong> If a circle is divided into three equal arcs, each is a major arc. <strong>(False)<br \/>\n<\/strong>For unequal arcs, there can be major and minor arcs. So, equal arcs on a circle cannot be said to be major arcs or minor arcs.<br \/>\n<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>(iv)<\/strong> A chord of a circle, which is twice as long as its radius, is the diameter of the circle. <strong>(True)<br \/>\n<\/strong>Any chord whose length is twice as long as the radius of the circle always passes through the centre of the circle, and thus, it is known as the diameter of the circle.<br \/>\n<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>(v)<\/strong> Sector is the region between the chord and its corresponding arc. <strong>(False)<br \/>\n<\/strong>The region between an arc and the two radii, joining the center to the endpoints of the arc is called a\u00a0sector.<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>(vi)<\/strong> A circle is a plane figure. <strong>(<\/strong><strong>True)<br \/>\n<\/strong>A circle is a 2-dimensional figure. So, circle is a plane figure.<\/span><\/p>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>NCERT Solutions Class 9 Maths\u00a0 Chapter &#8211; 10 (Circles)\u00a0 The NCERT Solutions in English Language for Class 9 Mathematics\u00a0Chapter &#8211; 10 Circles Exercise 10.1 has been provided here to help the students in solving the questions from this exercise.\u00a0 Chapter 10: Circles NCERT Solution Class 9 Maths Ex &#8211; 10.2 NCERT Solution Class 9 Maths [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[698],"tags":[719,702,186,720,701,5],"class_list":["post-4517","post","type-post","status-publish","format-standard","hentry","category-class-9-maths","tag-class-9th-chapter-10-circles-in-english","tag-ncert-solution-class-9","tag-ncert-solutions","tag-ncert-solutions-class-9-maths-chapter-10-in-english","tag-ncert-solutions-class-9-maths-in-english","tag-ncert-solutions-in-english"],"yoast_head":"<!-- This site is optimized with the Yoast SEO Premium plugin v22.9 (Yoast SEO v27.5) - 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