Book: RS Aggarwal - Mathematics
Chapter: 18. Area of Circle, Sector and Segment
Subject: Maths - Class 10th
Q. No. 1 of Exercise 18A
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The difference between the circumference and radius of a circle is 37 cm. Using π = 22/7, find the circumference of the circle.
Given:
Difference between the circumference and the radius of circle = 37 cm
Let the radius of the circle be ‘r’.
Circumference of the circle = 2πr
So, Difference between the circumference and the radius of the circle = 2πr – r = 37
2πr – r = 37
2 × 
× r – r = 37
× r – r = 37
r = 37 × 
r = 7 cm
∴ Circumference of circle = 2 × 
× 7
= 2 × 22
= 44 cm
Hence the circumference of the circle is 44 cm.
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