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

Last updated at April 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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