If the difference between the circumference and the radius of a circle is 37cm , π = 22/7, the circumference (in cm) of the circle is

(a) 154    (b) 44    (c) 14     (d) 7

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  1. Class 10
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Question 28 If the difference between the circumference and the radius of a circle is 37cm , ๐œ‹ = 22/7, the circumference (in cm) of the circle is Given that Difference between circumference and the radius of a circle is 37cm Thus, Circumference โˆ’ Radius = 37 cm 2๐œ‹r โˆ’ r = 37 r (2๐œ‹ โˆ’ 1) = 37 r ร— (2 ร— ๐Ÿ๐Ÿ/๐Ÿ• โˆ’ 1) = 37 r ร— (44/7 โˆ’ 1) = 37 r ร— (44 โˆ’ 7)/7 = 37 r ร— 37/7 = 37 r = 37 ร— 7/37 r = 7 cm Now, Circumference of Circle = 2๐œ‹r = 2 ร— 22/7 ร— 7 = 2 ร— 22 = 44 cm So, the correct answer is (b)

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Davneet Singh
Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 10 years. He provides courses for Maths and Science at Teachoo.