{"id":4584,"date":"2016-05-17T09:49:00","date_gmt":"2016-05-17T04:19:00","guid":{"rendered":"http:\/\/mycbseguide.com\/blog\/ncert-solutions-class-11-maths-exercise-3-1\/"},"modified":"2016-05-17T10:38:20","modified_gmt":"2016-05-17T05:08:20","slug":"ncert-solutions-class-11-maths-exercise-3-1","status":"publish","type":"post","link":"https:\/\/mycbseguide.com\/blog\/ncert-solutions-class-11-maths-exercise-3-1\/","title":{"rendered":"NCERT Solutions class-11 Maths Exercise 3.1"},"content":{"rendered":"

Exercise 3.1<\/strong><\/p>\n

1. Find the radian measures corresponding to the following degree measures:<\/strong><\/p>\n

(i) <\/strong><\/p>\n

(ii) <\/strong><\/p>\n

(iii) <\/strong><\/p>\n

(iv) <\/strong><\/p>\n

Ans. (i)<\/strong> <\/p>\n

(ii)<\/strong> <\/p>\n

(iii)<\/strong> <\/p>\n

(iv)<\/strong> <\/p>\n

\n

2. Find the degree measures corresponding to the following radian measures <\/strong>.<\/strong><\/p>\n

(i) <\/strong><\/p>\n

(ii) <\/strong><\/p>\n

(iii) <\/strong><\/p>\n

(iv) <\/strong><\/p>\n

Ans. (i)<\/strong> <\/p>\n

= <\/p>\n

(ii)<\/strong> <\/p>\n

= <\/p>\n

(iii)<\/strong> <\/p>\n

(iv)<\/strong> <\/p>\n

\n

3. A wheel makes 360 revolutions in one minute. Through how many radians does it turn in one second?<\/strong><\/p>\n

Ans. <\/strong>Number of revolutions in 1 minute = 360<\/p>\n

Number of revolution in 60 seconds = 360<\/p>\n

Number of revolutions in 1 second = = 6 revolutions<\/p>\n

Angle made by wheel in 6 revolutions = <\/p>\n

<\/p>\n

\n

4. Find the degree measure of the angle subtended at the centre of a circle of radius 100 cm by an arc of length 22 cm <\/strong>.<\/p>\n

Ans. <\/strong>Here cm and = 22 cm<\/p>\n

<\/p>\n

<\/p>\n

<\/p>\n

= <\/p>\n

\n

5. In a circle of diameter 40 cm, the length of a chord is 20 cm. Find the length of minor arc of the chord.<\/strong><\/p>\n

Ans. <\/strong>Given: Diameter AB = 40 cm, Radius OA = 20 cm and Chord AC = 20 cm<\/p>\n

is an equilateral triangle.<\/p>\n

<\/p>\n

AOC = = = <\/p>\n

Now, <\/p>\n

cm<\/p>\n

\n

6. If in two circles, arcs of the same length subtend angles <\/strong> and <\/strong> at the centre, find the ratio of their radii.<\/strong><\/p>\n

Ans. <\/strong>Let and be radii of two circles in which arcs of same length subtend angles and respectively.<\/p>\n

<\/p>\n

<\/p>\n

And <\/p>\n

<\/p>\n

<\/p>\n

<\/p>\n

\n

7. Find the angle in radians through which a pendulum swings if its length is 75 cm and the tip describes an arc of length:<\/strong><\/p>\n

(i) 10 cm <\/strong><\/p>\n

(ii) 15 cm <\/strong><\/p>\n

(iii) 21 cm<\/strong><\/p>\n

Ans. (i)<\/strong> Given: length of pendulum = 75 cm and length of arc = 10 cm<\/p>\n

<\/p>\n

(ii)<\/strong> Given: length of pendulum = 75 cm and length of arc = 15 cm<\/p>\n

<\/p>\n

(iii)<\/strong> Given: length of pendulum = 75 cm and length of arc = 21 cm<\/p>\n

<\/p>\n","protected":false},"excerpt":{"rendered":"

Exercise 3.1 1. Find the radian measures corresponding to the following degree measures: (i) (ii) (iii) (iv) Ans. (i) (ii) (iii) (iv) 2. Find the degree measures corresponding to the following radian measures . (i) (ii) (iii) (iv) Ans. (i) = (ii) = (iii) (iv) 3. A wheel makes 360 revolutions in one minute. Through … Read more<\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[47,281],"tags":[],"class_list":["post-4584","post","type-post","status-publish","format-standard","hentry","category-cbse-class-11","category-ncert-solutions"],"yoast_head":"\nNCERT Solutions class-11 Maths Exercise 3.1 | myCBSEguide<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/mycbseguide.com\/blog\/ncert-solutions-class-11-maths-exercise-3-1\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"NCERT Solutions class-11 Maths Exercise 3.1 | myCBSEguide\" \/>\n<meta property=\"og:description\" content=\"Exercise 3.1 1. Find the radian measures corresponding to the following degree measures: (i) (ii) (iii) (iv) Ans. (i) (ii) (iii) (iv) 2. Find the degree measures corresponding to the following radian measures . (i) (ii) (iii) (iv) Ans. (i) = (ii) = (iii) (iv) 3. A wheel makes 360 revolutions in one minute. Through ... 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