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Question 28 - CBSE Class 10 Sample Paper for 2022 Boards - Maths Basic [MCQ] - Solutions of Sample Papers for Class 10 Boards

Last updated at Dec. 16, 2024 by Teachoo

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

Transcript

Question 28 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 Given that Difference between circumference and the radius of a circle is 37cm Thus, Circumference − Radius = 37 cm 2𝜋r − r = 37 r (2𝜋 − 1) = 37 r × (2 × 𝟐𝟐/𝟕 − 1) = 37 r × (44/7 − 1) = 37 r × (44 − 7)/7 = 37 r × 37/7 = 37 r = 37 × 7/37 r = 7 cm Now, Circumference of Circle = 2𝜋r = 2 × 22/7 × 7 = 2 × 22 = 44 cm So, the correct answer is (b)
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Davneet Singh

Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 14 years. He provides courses for Maths, Science and Computer Science at Teachoo