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

(a) 154Β  Β  (b) 44Β  Β  (c) 14Β Β  Β  (d) 7

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Question 28 If the difference between the circumference and the radius of a circle is 37cm , π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 βˆ’ Radius = 37 cm 2πœ‹r βˆ’ r = 37 r (2πœ‹ βˆ’ 1) = 37 r Γ— (2 Γ— 𝟐𝟐/πŸ• βˆ’ 1) = 37 r Γ— (44/7 βˆ’ 1) = 37 r Γ— (44 βˆ’ 7)/7 = 37 r Γ— 37/7 = 37 r = 37 Γ— 7/37 r = 7 cm Now, Circumference of Circle = 2πœ‹r = 2 Γ— 22/7 Γ— 7 = 2 Γ— 22 = 44 cm So, the correct answer is (b)

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Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 13 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.