RS Aggarwal - Mathematics

Book: RS Aggarwal - Mathematics

Chapter: 18. Area of Circle, Sector and Segment

Subject: Maths - Class 10th

Q. No. 10 of Exercise 18A

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10

Find the radius of a circle whose perimeter and area are numerically equal.

Given:

Perimeter of circle = Area of circle …… (i)


Perimeter of circle = 2πr and Area of circle = πr2


Using (i), we have


2πr = πr2


2 =


2 = r or r = 2


Hence, the radius of the circle is 2 cm.


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