{"id":546232,"date":"2021-10-06T07:59:45","date_gmt":"2021-10-06T07:59:45","guid":{"rendered":"https:\/\/www.indcareer.com\/schools\/?p=546232"},"modified":"2021-10-07T06:00:24","modified_gmt":"2021-10-07T06:00:24","slug":"rd-sharma-solutions-for-class-8-maths-chapter-15-understanding-shapes-i-polygons","status":"publish","type":"post","link":"https:\/\/www.indcareer.com\/schools\/rd-sharma-solutions-for-class-8-maths-chapter-15-understanding-shapes-i-polygons\/","title":{"rendered":"RD Sharma Solutions for Class 8 Maths Chapter 15\u2013Understanding Shapes- I (Polygons)"},"content":{"rendered":"\n<p><meta http-equiv=\"content-type\" content=\"text\/html; charset=utf-8\">Class 8: Maths Chapter 15 solutions. Complete Class 8 Maths Chapter 15 Notes.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"h-rd-sharma-solutions-for-class-8-maths-chapter-15-understanding-shapes-i-polygons\">RD Sharma Solutions for Class 8 Maths Chapter 15\u2013Understanding Shapes- I (Polygons)<\/h2>\n\n\n\n<p><meta http-equiv=\"content-type\" content=\"text\/html; charset=utf-8\">RD Sharma 8th Maths Chapter 15, Class 8 Maths Chapter 15 solutions<\/p>\n\n\n\n<p>EXERCISE 15.1 PAGE NO: 15.5<\/p>\n\n\n\n<p><strong>1. Draw rough diagrams to illustrate the following:<br>(i) Open curve<br>(ii) Closed curve<\/strong><\/p>\n\n\n\n<p><strong>Solution:<\/strong><\/p>\n\n\n\n<p>Here is the illustration of<\/p>\n\n\n\n<p>(i) Open curve<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"243\" height=\"178\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/10\/rd-sharma-solutions-for-class-8-maths-chapter-15.png\" alt=\"\" class=\"wp-image-546236\" title=\"RD Sharma Solutions for Class 8 Maths Chapter 15 \u2013 Understanding Shapes \u2013 I Polygons - image 1\"\/><\/figure>\n\n\n\n<p>(ii) Closed curve<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"190\" height=\"127\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/10\/rd-sharma-solutions-for-class-8-maths-chapter-15-1.png\" alt=\"\" class=\"wp-image-546237\" title=\"RD Sharma Solutions for Class 8 Maths Chapter 15 \u2013 Understanding Shapes \u2013 I Polygons - image2 \"\/><\/figure>\n\n\n\n<p><strong>2. Classify the following curves as open or closed:<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"750\" height=\"350\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/10\/rd-sharma-solutions-for-class-8-maths-chapter-15-2.png\" alt=\"\" class=\"wp-image-546238\" title=\"RD Sharma Solutions for Class 8 Maths Chapter 15 \u2013 Understanding Shapes \u2013 I Polygons - image 3\" srcset=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/10\/rd-sharma-solutions-for-class-8-maths-chapter-15-2.png 750w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/10\/rd-sharma-solutions-for-class-8-maths-chapter-15-2-300x140.png 300w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/10\/rd-sharma-solutions-for-class-8-maths-chapter-15-2-400x187.png 400w\" sizes=\"auto, (max-width: 750px) 100vw, 750px\" \/><\/figure>\n\n\n\n<p><strong>Solution:<\/strong><\/p>\n\n\n\n<p>(i) Open curve<\/p>\n\n\n\n<p>(ii) Closed curve<\/p>\n\n\n\n<p>(iii) Closed curve<\/p>\n\n\n\n<p>(iv) Open curve<\/p>\n\n\n\n<p>(v) Open curve<\/p>\n\n\n\n<p>(vi) Closed curve<\/p>\n\n\n\n<p><strong>3. Draw a polygon and shade its interior. Also draw its diagonals, if any.<\/strong><\/p>\n\n\n\n<p><strong>Solution:<\/strong><\/p>\n\n\n\n<p>Here is the polygon with diagonals and with its interior shaded.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"750\" height=\"415\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/10\/rd-sharma-solutions-for-class-8-maths-chapter-15-3-1.png\" alt=\"\" class=\"wp-image-546239\" title=\"RD Sharma Solutions for Class 8 Maths Chapter 15 \u2013 Understanding Shapes \u2013 I Polygons - image 4\" srcset=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/10\/rd-sharma-solutions-for-class-8-maths-chapter-15-3-1.png 750w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/10\/rd-sharma-solutions-for-class-8-maths-chapter-15-3-1-300x166.png 300w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/10\/rd-sharma-solutions-for-class-8-maths-chapter-15-3-1-400x221.png 400w\" sizes=\"auto, (max-width: 750px) 100vw, 750px\" \/><\/figure>\n\n\n\n<p><strong>4. Illustrate, if possible each one of the following with a rough diagram.<br>(i) A closed curve that is not a polygon.<br>(ii) An open curve made up entirely of line segments.<br>(iii) A polygon with two sides.<\/strong><\/p>\n\n\n\n<p><strong>Solution:<\/strong><\/p>\n\n\n\n<p><strong>(i)<\/strong>&nbsp;A closed curve that is not a polygon.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"124\" height=\"125\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/10\/rd-sharma-solutions-for-class-8-maths-chapter-15-4.png\" alt=\"\" class=\"wp-image-546241\" title=\"RD Sharma Solutions for Class 8 Maths Chapter 15 \u2013 Understanding Shapes \u2013 I Polygons - image 5\"\/><\/figure>\n\n\n\n<p><strong>(ii)<\/strong>&nbsp;An open curve made up entirely of line segments.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"750\" height=\"234\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/10\/rd-sharma-solutions-for-class-8-maths-chapter-15-5.png\" alt=\"\" class=\"wp-image-546242\" title=\"RD Sharma Solutions for Class 8 Maths Chapter 15 \u2013 Understanding Shapes \u2013 I Polygons - image 6\" srcset=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/10\/rd-sharma-solutions-for-class-8-maths-chapter-15-5.png 750w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/10\/rd-sharma-solutions-for-class-8-maths-chapter-15-5-300x94.png 300w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/10\/rd-sharma-solutions-for-class-8-maths-chapter-15-5-400x125.png 400w\" sizes=\"auto, (max-width: 750px) 100vw, 750px\" \/><\/figure>\n\n\n\n<p><strong>(iii)<\/strong>&nbsp;A polygon with two sides.<\/p>\n\n\n\n<p>A polygon with two sides is not possible because, a polygon should have minimum three sides.<\/p>\n\n\n\n<p><strong>5. Following are some figures: Classify each of these figures on the basis of the following:<\/strong><\/p>\n\n\n\n<p><strong>(i) Simple curve (ii) Simple closed curve (iii) Polygon<\/strong><\/p>\n\n\n\n<p><strong>(iv) Convex polygon (v) Concave polygon (vi) Not a curve<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"750\" height=\"470\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/10\/rd-sharma-solutions-for-class-8-maths-chapter-15-6.png\" alt=\"\" class=\"wp-image-546243\" title=\"RD Sharma Solutions for Class 8 Maths Chapter 15 \u2013 Understanding Shapes \u2013 I Polygons - image 7\" srcset=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/10\/rd-sharma-solutions-for-class-8-maths-chapter-15-6.png 750w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/10\/rd-sharma-solutions-for-class-8-maths-chapter-15-6-300x188.png 300w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/10\/rd-sharma-solutions-for-class-8-maths-chapter-15-6-400x251.png 400w\" sizes=\"auto, (max-width: 750px) 100vw, 750px\" \/><\/figure>\n\n\n\n<p><strong>Solution:<\/strong><\/p>\n\n\n\n<p>(i) It is a Simple Closed curve and a concave polygon. This is a simple closed curve and as a concave polygon all the vertices are not pointing outwards.<\/p>\n\n\n\n<p>(ii) It is a Simple closed curve and a convex polygon. This is a simple closed curve and as a convex polygon all the vertices are pointing outwards.<\/p>\n\n\n\n<p>(iii) It is Not a curve and hence it is not a polygon.<\/p>\n\n\n\n<p>(iv) It is Not a curve and hence it is not a polygon.<\/p>\n\n\n\n<p>(v) It is a Simple closed curve but not a polygon.<\/p>\n\n\n\n<p>(vi) It is a Simple closed curve but not a polygon.<\/p>\n\n\n\n<p>(vii) It is a Simple closed curve but not a polygon.<\/p>\n\n\n\n<p>(viii) It is a Simple closed curve but not a polygon.<\/p>\n\n\n\n<p><strong>6. How many diagonals does each of the following have?<br>(i) A convex quadrilateral<br>(ii) A regular hexagon<br>(iii) A triangle<\/strong><\/p>\n\n\n\n<p><strong>Solution:<\/strong><\/p>\n\n\n\n<p><strong>(i)<\/strong>&nbsp;A convex quadrilateral<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"750\" height=\"470\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/10\/rd-sharma-solutions-for-class-8-maths-chapter-15-7.png\" alt=\"\" class=\"wp-image-546244\" title=\"RD Sharma Solutions for Class 8 Maths Chapter 15 \u2013 Understanding Shapes \u2013 I Polygons - image 8\" srcset=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/10\/rd-sharma-solutions-for-class-8-maths-chapter-15-7.png 750w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/10\/rd-sharma-solutions-for-class-8-maths-chapter-15-7-300x188.png 300w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/10\/rd-sharma-solutions-for-class-8-maths-chapter-15-7-400x251.png 400w\" sizes=\"auto, (max-width: 750px) 100vw, 750px\" \/><\/figure>\n\n\n\n<p>For a convex quadrilateral we shall use the formula n(n-3)\/2<\/p>\n\n\n\n<p>So, number of diagonals = 4(4-3)\/2 = 4\/2 = 2<\/p>\n\n\n\n<p>A convex quadrilateral has 2 diagonals.<\/p>\n\n\n\n<p><strong>(ii)<\/strong>&nbsp;A regular hexagon<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"750\" height=\"470\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/10\/rd-sharma-solutions-for-class-8-maths-chapter-15-8.png\" alt=\"\" class=\"wp-image-546245\" title=\"RD Sharma Solutions for Class 8 Maths Chapter 15 \u2013 Understanding Shapes \u2013 I Polygons - image 9\" srcset=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/10\/rd-sharma-solutions-for-class-8-maths-chapter-15-8.png 750w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/10\/rd-sharma-solutions-for-class-8-maths-chapter-15-8-300x188.png 300w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/10\/rd-sharma-solutions-for-class-8-maths-chapter-15-8-400x251.png 400w\" sizes=\"auto, (max-width: 750px) 100vw, 750px\" \/><\/figure>\n\n\n\n<p>For a regular hexagon we shall use the formula n(n-3)\/2<\/p>\n\n\n\n<p>So, number of diagonals = 6(6-3)\/2 = 18\/2 = 9<\/p>\n\n\n\n<p>A regular hexagon has 9 diagonals.<\/p>\n\n\n\n<p><strong>(iii)<\/strong>&nbsp;A triangle<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"750\" height=\"399\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/10\/rd-sharma-solutions-for-class-8-maths-chapter-15-9.png\" alt=\"\" class=\"wp-image-546246\" title=\"RD Sharma Solutions for Class 8 Maths Chapter 15 \u2013 Understanding Shapes \u2013 I Polygons - image 10\" srcset=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/10\/rd-sharma-solutions-for-class-8-maths-chapter-15-9.png 750w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/10\/rd-sharma-solutions-for-class-8-maths-chapter-15-9-300x160.png 300w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/10\/rd-sharma-solutions-for-class-8-maths-chapter-15-9-400x213.png 400w\" sizes=\"auto, (max-width: 750px) 100vw, 750px\" \/><\/figure>\n\n\n\n<p>For a triangle we shall use the formula n(n-3)\/2<\/p>\n\n\n\n<p>So, number of diagonals = 3(3-3)\/2 = 0\/2 = 0<\/p>\n\n\n\n<p>A triangle has no diagonals.<\/p>\n\n\n\n<p><strong>7. What is a regular polygon? State the name of a regular polygon of<br>(i) 3 sides<br>(ii) 4 sides<br>(iii) 6 sides<\/strong><\/p>\n\n\n\n<p><strong>Solution:<\/strong><\/p>\n\n\n\n<p>Regular Polygon: A regular polygon is an enclosed figure. In a regular polygon minimum sides are three.<\/p>\n\n\n\n<p>(i) 3 sides<\/p>\n\n\n\n<p>A regular polygon with 3 sides is known as Equilateral triangle.<\/p>\n\n\n\n<p>(ii) 4 sides<\/p>\n\n\n\n<p>A regular polygon with 4 sides is known as Rhombus.<\/p>\n\n\n\n<p>(iii) 6 sides<\/p>\n\n\n\n<p>A regular polygon with 6 sides is known as Regular hexagon.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"h-rd-sharma-solutions-for-class-8-maths-chapter-15-download-pdf\">RD Sharma Solutions for Class 8 Maths Chapter 15:&nbsp;<strong>Download PDF<\/strong><\/h2>\n\n\n\n<p>RD Sharma Solutions for Class 8 Maths Chapter 15\u2013Understanding Shapes- I (Polygons)<\/p>\n\n\n\n<p><a href=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/10\/RD-Sharma-Solutions-for-Class-8-Maths-Chapter-15\u2013Understanding-Shapes-I-Polygons.pdf\" target=\"_blank\" rel=\"noreferrer noopener\"><strong>Download PDF<\/strong>: RD Sharma Solutions for Class 8 Maths Chapter 15\u2013Understanding Shapes- I (Polygons) PDF<\/a><\/p>\n\n\n\n<h2 class=\"wp-block-heading\"><strong>Chapterwise RD Sharma Solutions for Class 8&nbsp;Maths :<\/strong><\/h2>\n\n\n\n<ul class=\"wp-block-list\"><li><a href=\"https:\/\/www.indcareer.com\/schools\/rd-sharma-solutions-for-class-8-maths-chapter-1-rational-numbers\/\">Chapter 1\u2013Rational Numbers<\/a><\/li><li><a href=\"https:\/\/www.indcareer.com\/schools\/rd-sharma-solutions-for-class-8-maths-chapter-2-powers\/\">Chapter 2\u2013Powers<\/a><\/li><li><a href=\"https:\/\/www.indcareer.com\/schools\/rd-sharma-solutions-for-class-8-maths-chapter-3-squares-and-square-roots\/\">Chapter 3\u2013Squares and Square Roots<\/a><\/li><li><a href=\"https:\/\/www.indcareer.com\/schools\/rd-sharma-solutions-for-class-8-maths-chapter-4-cubes-and-cube-roots\/\">Chapter 4\u2013Cubes and Cube Roots<\/a><\/li><li><a href=\"https:\/\/www.indcareer.com\/schools\/rd-sharma-solutions-for-class-8-maths-chapter-5-playing-with-numbers\/\">Chapter 5\u2013Playing with Numbers<\/a><\/li><li><a href=\"https:\/\/www.indcareer.com\/schools\/rd-sharma-solutions-for-class-8-maths-chapter-6-algebraic-expressions-and-identities\/\">Chapter 6\u2013Algebraic Expressions and Identities<\/a><\/li><li><a href=\"https:\/\/www.indcareer.com\/schools\/rd-sharma-solutions-for-class-8-maths-chapter-7-factorization\/\">Chapter 7\u2013Factorization<\/a><\/li><li><a href=\"https:\/\/www.indcareer.com\/schools\/rd-sharma-solutions-for-class-8-maths-chapter-8-division-of-algebraic-expressions\/\">Chapter 8\u2013Division of Algebraic Expressions<\/a><\/li><li><a href=\"https:\/\/www.indcareer.com\/schools\/rd-sharma-solutions-for-class-8-maths-chapter-9-linear-equation-in-one-variable\/\">Chapter 9\u2013Linear Equation in One Variable<\/a><\/li><li><a href=\"https:\/\/www.indcareer.com\/schools\/rd-sharma-solutions-for-class-8-maths-chapter-10-direct-and-inverse-variations\/\">Chapter 10\u2013Direct and Inverse Variations<\/a><\/li><li><a href=\"https:\/\/www.indcareer.com\/schools\/rd-sharma-solutions-for-class-8-maths-chapter-11-time-and-work\/\">Chapter 11\u2013Time and Work<\/a><\/li><li><a href=\"https:\/\/www.indcareer.com\/schools\/rd-sharma-solutions-for-class-8-maths-chapter-12-percentage\/\">Chapter 12\u2013Percentage<\/a><\/li><li><a href=\"https:\/\/www.indcareer.com\/schools\/rd-sharma-solutions-for-class-8-maths-chapter-13-profit-loss-discount-and-value-added-tax-vat\/\">Chapter 13\u2013Profit, Loss, Discount and Value Added Tax (VAT)<\/a><\/li><li><a href=\"https:\/\/www.indcareer.com\/schools\/rd-sharma-solutions-for-class-8-maths-chapter-14-compound-interest\/\">Chapter 14\u2013Compound Interest<\/a><\/li><li><a href=\"https:\/\/www.indcareer.com\/schools\/rd-sharma-solutions-for-class-8-maths-chapter-15-understanding-shapes-i-polygons\/\">Chapter 15\u2013Understanding Shapes- I (Polygons)<\/a><\/li><li><a href=\"https:\/\/www.indcareer.com\/schools\/rd-sharma-solutions-for-class-8-maths-chapter-16-understanding-shapes-ii-quadrilaterals\/\">Chapter 16\u2013Understanding Shapes- II (Quadrilaterals)<\/a><\/li><li><a href=\"https:\/\/www.indcareer.com\/schools\/rd-sharma-solutions-for-class-8-maths-chapter-17-understanding-shapes-iii-special-types-of-quadrilaterals\/\">Chapter 17\u2013Understanding Shapes- III (Special Types of Quadrilaterals)<\/a><\/li><li><a href=\"https:\/\/www.indcareer.com\/schools\/rd-sharma-solutions-for-class-8-maths-chapter-18-practical-geometry-constructions\/\">Chapter 18\u2013Practical Geometry (Constructions)<\/a><\/li><li><a href=\"https:\/\/www.indcareer.com\/schools\/rd-sharma-solutions-for-class-8-maths-chapter-19-visualising-shapes\/\">Chapter 19\u2013Visualising Shapes<\/a><\/li><li><a href=\"https:\/\/www.indcareer.com\/schools\/rd-sharma-solutions-for-class-8-maths-chapter-20-mensuration-i-area-of-a-trapezium-and-a-polygon\/\">Chapter 20\u2013Mensuration \u2013 I (Area of a Trapezium and a Polygon)<\/a><\/li><li><a href=\"https:\/\/www.indcareer.com\/schools\/rd-sharma-solutions-for-class-8-maths-chapter-21-mensuration-ii-volumes-and-surface-areas-of-a-cuboid-and-a-cube\/\">Chapter 21\u2013Mensuration \u2013 II (Volumes and Surface Areas of a Cuboid and a cube)<\/a><\/li><li><a href=\"https:\/\/www.indcareer.com\/schools\/rd-sharma-solutions-for-class-8-maths-chapter-22-mensuration-iii-surface-area-and-volume-of-a-right-circular-cylinder\/\">Chapter 22\u2013Mensuration \u2013 III (Surface Area and Volume of a Right Circular Cylinder)<\/a><\/li><li><a href=\"https:\/\/www.indcareer.com\/schools\/rd-sharma-solutions-for-class-8-maths-chapter-23-data-handling-i-classification-and-tabulation-of-data\/\">Chapter 23\u2013Data Handling \u2013 I (Classification and Tabulation of Data)<\/a><\/li><li><a href=\"https:\/\/www.indcareer.com\/schools\/rd-sharma-solutions-for-class-8-maths-chapter-24-data-handling-ii-graphical-representation-of-data-as-histogram\/\">Chapter 24\u2013Data Handling \u2013 II (Graphical Representation of Data as Histogram)<\/a><\/li><li><a href=\"https:\/\/www.indcareer.com\/schools\/rd-sharma-solutions-for-class-8-maths-chapter-25-data-handling-iii-pictorial-representation-of-data-as-pie-charts-or-circle-graphs\/\">Chapter 25\u2013Data Handling \u2013 III (Pictorial Representation of Data as Pie Charts or Circle Graphs)<\/a><\/li><li><a href=\"https:\/\/www.indcareer.com\/schools\/rd-sharma-solutions-for-class-8-maths-chapter-26-data-handling-iv-probability\/\">Chapter 26\u2013Data Handling \u2013 IV (Probability)<\/a><\/li><li><a href=\"https:\/\/www.indcareer.com\/schools\/rd-sharma-solutions-for-class-8-maths-chapter-27-introduction-to-graphs\/\">Chapter 27\u2013Introduction to Graphs<\/a><\/li><\/ul>\n\n\n\n<h2 class=\"wp-block-heading\">About RD Sharma<\/h2>\n\n\n\n<p>RD Sharma i<em>sn&#8217;t the kind of author you&#8217;d bump into at lit fests. But his bestselling books have helped many&nbsp;<\/em>CBSE<em>&nbsp;students lose their dread of&nbsp;<\/em>maths<em>. Sunday Times profiles the tutor turned internet star<\/em><br>He dreams of algorithms that would give most people nightmares. And, spends every waking hour thinking of ways to explain concepts like &#8216;series solution of linear differential equations&#8217;. Meet Dr&nbsp;Ravi Dutt Sharma&nbsp;\u2014&nbsp;mathematics&nbsp;teacher and author of 25 reference books \u2014 whose name evokes as much awe as the subject he teaches. And though students have used his thick tomes for the last 31 years to ace the dreaded maths exam, it&#8217;s only recently that a spoof video turned the tutor into a YouTube star.<\/p>\n\n\n\n<p>R D Sharma had a good laugh but said he shared little with his on-screen persona except for the love for maths. &#8220;I like to spend all my time thinking and writing about maths problems. I find it relaxing,&#8221; he says. When he is not writing books explaining mathematical concepts for classes 6 to 12 and engineering students, Sharma is busy dispensing his duty as vice-principal and head of department of science and humanities at Delhi government&#8217;s Guru Nanak Dev Institute of Technology.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\">Read More<\/h2>\n\n\n\n<ul class=\"wp-block-yoast-seo-related-links\"><li><a href=\"https:\/\/www.indcareer.com\/schools\/rd-sharma-solutions-for-class-11-maths-chapter-4-measurement-of-angles\/\">RD Sharma Solutions for Class 11 Maths Chapter 4\u2013Measurement of Angles<\/a><\/li><li><a href=\"https:\/\/www.indcareer.com\/schools\/ncert-solutions-for-12th-class-economics-microeconomics-chapter-6-non-competitive-markets\/\">NCERT Solutions for 12th Class Economics (Microeconomics): Chapter 6-Non-Competitive Markets<\/a><\/li><li><a href=\"https:\/\/www.indcareer.com\/schools\/rd-sharma-solutions-for-class-12-maths-chapter-13-derivatives-as-a-rate-measurer\/\">RD Sharma Solutions for Class 12 Maths Chapter 13\u2013Derivatives as a Rate Measurer<\/a><\/li><li><a href=\"https:\/\/www.indcareer.com\/schools\/ncert-solutions-for-8th-class-maths-chapter-3-understanding-quadrilaterals\/\">NCERT Solutions for 8th Class Maths: Chapter 3-Understanding Quadrilaterals<\/a><\/li><li><a href=\"https:\/\/www.indcareer.com\/schools\/cbse-sample-papers-for-class-6-maths-term-2\/\">CBSE Sample Papers for Class 6 Maths (Term 2)<\/a><\/li><\/ul>\n","protected":false},"excerpt":{"rendered":"<p>Class 8: Maths Chapter 15 solutions. Complete Class 8 Maths Chapter 15 Notes. RD Sharma Solutions for Class 8 Maths Chapter 15\u2013Understanding Shapes- I (Polygons) RD Sharma 8th Maths Chapter 15, Class 8 Maths Chapter 15 solutions EXERCISE 15.1 PAGE NO: 15.5 1. Draw rough diagrams to illustrate the following:(i) Open curve(ii) Closed curve Solution: [&hellip;]<\/p>\n","protected":false},"author":302,"featured_media":546235,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"newspack_featured_image_position":"","newspack_post_subtitle":"","newspack_article_summary_title":"Overview:","newspack_article_summary":"","newspack_hide_updated_date":false,"newspack_show_updated_date":false,"footnotes":""},"categories":[1411,58],"tags":[1962],"boards":[],"class_list":["post-546232","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-book-solutions","category-class-8","tag-rd-sharma-solutions","entry"],"yoast_head":"<!-- This site is optimized with the Yoast SEO Premium plugin v27.0 (Yoast SEO v27.1.1) - https:\/\/yoast.com\/product\/yoast-seo-premium-wordpress\/ -->\n<title>RD Sharma Solutions for Class 8, maths Chapter 15 - IndCareer Schools<\/title>\n<meta name=\"description\" content=\"RD Sharma Solutions for Class 8 Maths Chapter 15\u2013Understanding Shapes- I (Polygons) | Browse Class 8 Maths Chapters RD - IndCareer Schools\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/www.indcareer.com\/schools\/rd-sharma-solutions-for-class-8-maths-chapter-15-understanding-shapes-i-polygons\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"RD Sharma Solutions for Class 8 Maths Chapter 15\u2013Understanding Shapes- I (Polygons)\" \/>\n<meta property=\"og:description\" content=\"Class 8: Maths Chapter 15 solutions. 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