{"id":732,"date":"2022-08-23T04:22:32","date_gmt":"2022-08-23T04:22:32","guid":{"rendered":"https:\/\/theexampillar.com\/ncert\/?p=732"},"modified":"2024-02-21T06:52:49","modified_gmt":"2024-02-21T06:52:49","slug":"ncert-solutions-class-6-maths-chapter-14-practical-geometry-ex-14-1","status":"publish","type":"post","link":"https:\/\/theexampillar.com\/ncert\/ncert-solutions-class-6-maths-chapter-14-practical-geometry-ex-14-1\/","title":{"rendered":"NCERT Solutions Class 6 Maths Chapter 14 Practical Geometry Ex 14.1"},"content":{"rendered":"<h2 style=\"text-align: center;\"><span style=\"font-family: georgia, palatino, serif;\"><strong><span style=\"color: #000000;\">NCERT Solutions Class 6 Maths<\/span><\/strong><\/span><br \/>\n<span style=\"font-family: georgia, palatino, serif;\"><strong><span style=\"color: #000000;\">Chapter &#8211; 14 (Practical Geometry)<\/span><\/strong><\/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 6 Mathematics <strong>Chapter &#8211; 14 Practical Geometry <\/strong>Exercise 14.1 has been provided here to help the students in solving the questions from this exercise.<\/span><\/p>\n<h4 id=\"chapter-14\"><span style=\"font-family: georgia, palatino, serif;\"><strong><span id=\"Chapter_14_Practical_Geometry\" style=\"color: #000000;\">Chapter 14: Practical Geometry<\/span><\/strong><\/span><\/h4>\n<ul>\n<li><span style=\"font-family: georgia, palatino, serif;\"><a href=\"https:\/\/theexampillar.com\/ncert\/ncert-solutions-class-6-maths-chapter-14-practical-geometry-ex-14-2\" target=\"_blank\" rel=\"noopener\">NCERT Solution Class 6 Maths Exercise &#8211; 14.2<\/a><\/span><\/li>\n<li><span style=\"font-family: georgia, palatino, serif;\"><a href=\"https:\/\/theexampillar.com\/ncert\/ncert-solutions-class-6-maths-chapter-14-practical-geometry-ex-14-3\" target=\"_blank\" rel=\"noopener\">NCERT Solution Class 6 Maths Exercise &#8211; 14.3<\/a><\/span><\/li>\n<li><span style=\"font-family: georgia, palatino, serif;\"><a href=\"https:\/\/theexampillar.com\/ncert\/ncert-solutions-class-6-maths-chapter-14-practical-geometry-ex-14-4\" target=\"_blank\" rel=\"noopener\">NCERT Solution Class 6 Maths Exercise &#8211; 14.4<\/a><\/span><\/li>\n<li><span style=\"font-family: georgia, palatino, serif;\"><a href=\"https:\/\/theexampillar.com\/ncert\/ncert-solutions-class-6-maths-chapter-14-practical-geometry-ex-14-5\" target=\"_blank\" rel=\"noopener\">NCERT Solution Class 6 Maths Exercise &#8211; 14.5<\/a><\/span><\/li>\n<li><span style=\"font-family: georgia, palatino, serif;\"><a href=\"https:\/\/theexampillar.com\/ncert\/ncert-solutions-class-6-maths-chapter-14-practical-geometry-ex-14-6\" target=\"_blank\" rel=\"noopener\">NCERT Solution Class 6 Maths Exercise &#8211; 14.6<\/a><\/span><\/li>\n<\/ul>\n<h2 style=\"text-align: center;\"><span style=\"font-family: georgia, palatino, serif;\"><strong><span style=\"color: #000000;\">Exercise &#8211; 14.1<\/span><\/strong><\/span><\/h2>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>1. Draw a circle of radius 3.2 cm.<\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>Solutions:<\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\">The required circle may be drawn as follows:<br \/>\n<img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-746\" src=\"https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2022\/07\/NCERT-Class-6-Math-Ex-14.1A1.png\" alt=\"NCERT Class 6 Math Solution\" width=\"144\" height=\"132\" \/><\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>Step 1:<\/strong> Mark a point O as a centre.<\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>Step 2:<\/strong> Open the compass up to the given radius 3.2 cm.<\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>Step 3:<\/strong> Put the needle of the compass at the centre O.<\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>Step 4:<\/strong> Now, turn the compasses slowly to draw the required circle.<\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">The figure thus obtained is the required circle of radius 3.2 cm.<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>2. With the same centre O, draw two circles of radii 4 cm and 2.5 cm.<\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>Solutions:<\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\">The required circle may be drawn as follows:<br \/>\n<img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-747\" src=\"https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2022\/07\/NCERT-Class-6-Math-Ex-14.1A2.png\" alt=\"NCERT Class 6 Math Solution\" width=\"153\" height=\"153\" srcset=\"https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2022\/07\/NCERT-Class-6-Math-Ex-14.1A2.png 153w, https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2022\/07\/NCERT-Class-6-Math-Ex-14.1A2-150x150.png 150w\" sizes=\"auto, (max-width: 153px) 100vw, 153px\" \/><\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>Step 1:<\/strong> For the required radius 4 cm, first open the compasses.<\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>Step 2:<\/strong> For the centre of a circle, mark a point \u2018O\u2019.<\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>Step 3:<\/strong> Place a pointer of compasses on \u2018O\u2019.<\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>Step 4:<\/strong> Turn the compasses slowly to draw the circle.<\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>Step 5:<\/strong> Next, open the compasses for 2.5 cm.<\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>Step 6:<\/strong> Again place a pointer of compasses on \u2018O\u2019 and turn the compasses slowly to draw the circle.<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>3. Draw a circle and any two of its diameters. If you join the ends of these diameters, what is the figure obtained? What figure is obtained if the diameters are perpendicular to each other? How do you check your answer?<\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>Solutions:<\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>First Diameter &#8211;\u00a0<\/strong>On joining the ends of any two diameters of the circle, the figure obtained is a rectangle.<br \/>\n<img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-748\" src=\"https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2022\/07\/NCERT-Class-6-Math-Ex-14.1A3.png\" alt=\"NCERT Class 6 Math Solution\" width=\"137\" height=\"132\" \/><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"font-family: georgia, palatino, serif; color: #000000;\"><strong>Second Diameter &#8211;\u00a0<\/strong>On joining the ends of any two diameters of the circle, perpendicular to each other, the figure obtained is a square.<br \/>\n<img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-749\" src=\"https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2022\/07\/NCERT-Class-6-Math-Ex-14.1A3A.png\" alt=\"NCERT Class 6 Math Solution\" width=\"153\" height=\"151\" \/><br \/>\nTo check our answers we may measure the length of sides of quadrilateral formed.<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>4. Draw any circle and mark points A, B and C such that<br \/>\n<\/strong><strong>(a) A is on the circle.<br \/>\n<\/strong><strong>(b) B is in the interior of the circle.<br \/>\n<\/strong><strong>(c) C is in the exterior of the circle.<\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>Solutions:<\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\">We may draw a circle and three required points A, B, C as follows:<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>(a) <\/strong>A is on the circle.<strong><br \/>\n<img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-750\" src=\"https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2022\/07\/NCERT-Class-6-Math-Ex-14.1A4A.png\" alt=\"NCERT Class 6 Math Solution\" width=\"112\" height=\"112\" \/><\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"font-family: georgia, palatino, serif; color: #000000;\"><strong>(b) <\/strong>B is in the interior of the circle.<strong><br \/>\n<img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-751\" src=\"https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2022\/07\/NCERT-Class-6-Math-Ex-14.1A4B.png\" alt=\"NCERT Class 6 Math Solution\" width=\"133\" height=\"119\" \/><\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"font-family: georgia, palatino, serif; color: #000000;\"><strong>(c)<\/strong>\u00a0 C is in the exterior of the circle.<\/span><br \/>\n<span style=\"font-family: georgia, palatino, serif; color: #000000;\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-752\" src=\"https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2022\/07\/NCERT-Class-6-Math-Ex-14.1A4C.png\" alt=\"NCERT Class 6 Math Solution\" width=\"133\" height=\"124\" \/><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>5. Let A, B be the centres of two circles of equal radii; draw them so that each one of them passes through the centre of the other. Let them intersect at C and D. Examine whether <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\overline{AB}\" alt=\"\\overline{AB}\" align=\"absmiddle\" \/> and <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\overline{CD}\" alt=\"\\overline{CD}\" align=\"absmiddle\" \/>\u00a0are at right angles.<\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>Solutions:<\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\">In the given figure two circles of equal radii intersect each other at C and D on measuring, we see that <strong><img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\overline{AB}\" alt=\"\\overline{AB}\" align=\"absmiddle\" \/><\/strong> and <strong><img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\overline{CD}\" alt=\"\\overline{CD}\" align=\"absmiddle\" \/> <\/strong>intersect each other at right angles.<br \/>\n<img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-753\" src=\"https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2022\/07\/NCERT-Class-6-Math-Ex-14.1A5A.png\" alt=\"NCERT Class 6 Math Solution\" width=\"170\" height=\"128\" \/><br \/>\n<\/span><\/p>\n<table style=\"border-collapse: collapse; width: 100%;\">\n<tbody>\n<tr>\n<td style=\"width: 100%; background-color: #f2e079; text-align: center;\"><span style=\"color: #000000; font-size: 14pt; font-family: georgia, palatino, serif;\"><strong>NCERT Class 6<sup>th\u00a0<\/sup>Solution\u00a0<\/strong><\/span><\/td>\n<\/tr>\n<tr>\n<td style=\"width: 100%; text-align: left;\"><span style=\"color: #ff0000; font-size: 14pt; font-family: georgia, palatino, serif;\"><strong><span style=\"color: #0000ff; font-size: 12pt;\"><a class=\"row-title\" style=\"color: #0000ff;\" href=\"https:\/\/theexampillar.com\/ncert\/ncert-solutions-class-6-english\/\" target=\"_blank\" rel=\"noopener\" aria-label=\"\u201cNCERT Solutions Class 6 English\u201d (Edit)\">NCERT Solutions Class 6 English<\/a><\/span><\/strong><\/span><\/td>\n<\/tr>\n<tr>\n<td style=\"width: 100%; text-align: left;\"><span style=\"color: #ff0000; font-size: 14pt; font-family: georgia, palatino, serif;\"><strong><span style=\"color: #0000ff; font-size: 12pt;\"><a class=\"row-title\" style=\"color: #0000ff;\" href=\"https:\/\/theexampillar.com\/ncert\/ncert-solutions-class-6-hindi\/\" aria-label=\"\u201cNCERT Solutions Class 6 Maths\u201d (Edit)\">NCERT Solutions Class 6 Hindi<\/a><\/span><\/strong><\/span><\/td>\n<\/tr>\n<tr>\n<td style=\"width: 100%; text-align: left;\"><span style=\"color: #ff0000; font-size: 14pt; font-family: georgia, palatino, serif;\"><strong><span style=\"color: #0000ff; font-size: 12pt;\"><a class=\"row-title\" style=\"color: #0000ff;\" href=\"https:\/\/theexampillar.com\/ncert\/ncert-solutions-class-6-maths\/\" target=\"_blank\" rel=\"noopener\" aria-label=\"\u201cNCERT Solutions Class 6 Maths\u201d (Edit)\">NCERT Solutions Class 6 Maths<\/a><\/span><\/strong><\/span><\/td>\n<\/tr>\n<tr>\n<td style=\"width: 100%; text-align: left;\"><span style=\"font-family: georgia, palatino, serif;\"><a href=\"https:\/\/theexampillar.com\/ncert\/ncert-solutions-class-6-sanskrit\/\" target=\"_blank\" rel=\"noopener\"><span style=\"color: #ff0000; font-size: 14pt;\"><strong><span style=\"color: #0000ff; font-size: 12pt;\">NCERT Solutions Class 6 Sanskrit<\/span><\/strong><\/span><\/a><\/span><\/td>\n<\/tr>\n<tr>\n<td style=\"width: 100%; text-align: left;\"><span style=\"color: #ff0000; font-size: 14pt; font-family: georgia, palatino, serif;\"><strong><span style=\"color: #0000ff; font-size: 12pt;\"><a class=\"row-title\" style=\"color: #0000ff;\" href=\"https:\/\/theexampillar.com\/ncert\/ncert-solutions-class-6-science\/\" target=\"_blank\" rel=\"noopener\" aria-label=\"\u201cNCERT Solutions Class 6 Social Science\u201d (Edit)\">NCERT Solutions Class 6 Science<\/a><\/span><\/strong><\/span><\/td>\n<\/tr>\n<tr>\n<td style=\"width: 100%; text-align: left;\"><span style=\"color: #ff0000; font-size: 14pt; font-family: georgia, palatino, serif;\"><strong><span style=\"color: #0000ff; font-size: 12pt;\"><a class=\"row-title\" style=\"color: #0000ff;\" href=\"https:\/\/theexampillar.com\/ncert\/ncert-solutions-class-6-social-science\/\" target=\"_blank\" rel=\"noopener\" aria-label=\"\u201cNCERT Solutions Class 6 Social Science\u201d (Edit)\">NCERT Solutions Class 6 Social Science<\/a><\/span><\/strong><\/span><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n","protected":false},"excerpt":{"rendered":"<p>NCERT Solutions Class 6 Maths Chapter &#8211; 14 (Practical Geometry) The NCERT Solutions in English Language for Class 6 Mathematics Chapter &#8211; 14 Practical Geometry Exercise 14.1 has been provided here to help the students in solving the questions from this exercise. Chapter 14: Practical Geometry NCERT Solution Class 6 Maths Exercise &#8211; 14.2 NCERT [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[3],"tags":[31,32,4,5],"class_list":["post-732","post","type-post","status-publish","format-standard","hentry","category-class-6-maths","tag-chapter-14-practical-geometry-in-english","tag-ncert-solutions-class-6-maths-chapter-14-in-english","tag-ncert-solutions-class-6-maths-in-english","tag-ncert-solutions-in-english"],"yoast_head":"<!-- This site is optimized with the Yoast SEO Premium plugin v22.9 (Yoast SEO v27.3) - https:\/\/yoast.com\/product\/yoast-seo-premium-wordpress\/ -->\n<title>NCERT Solutions Class 6 Maths Chapter 14 Practical Geometry Ex 14.1 | TheExamPillar NCERT<\/title>\n<meta name=\"description\" content=\"The NCERT Solutions in English Language for Class 6 Mathematics Chapter - 14 Practical Geometry Exercise 14.1 has been provided here to help the students in solving the questions from this exercise.\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/theexampillar.com\/ncert\/ncert-solutions-class-6-maths-chapter-14-practical-geometry-ex-14-1\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"NCERT Solutions Class 6 Maths Chapter 14 Practical Geometry Ex 14.1\" \/>\n<meta property=\"og:description\" content=\"The NCERT Solutions in English Language for Class 6 Mathematics Chapter - 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