NCERT - Mathematics

Book: NCERT - Mathematics

Chapter: 12. Areas Related to Circles

Subject: Maths - Class 10th

Q. No. 5 of Exercise 12.1

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Tick the correct answer in the following and justify your choice: If the perimeter and the area of a circle are numerically equal, then the radius of the circle is

A. 2 units

B. π units

C. 4 units

D. 7 units

Let the radius of the circle be r

Circumference of circle = 2πr

Area of circle = πr2

Given that, the circumference of the circle and the area of the circle are equal.

This implies 2πr = πr2

2 = r

Therefore, the radius of the circle is 2 units

Hence, the correct answer is A


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