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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Transcript

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
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.