Question

.12 If the perimeter and the area of a circle are numerically equal, then find the radius of the circle

Answer 1

Answer:

As we know that,

Perimeter of circle =2πr

Area of circle =πr

2

Given that the perimeter and area of circle are numerically equal.

Therefore,

πr

2

=2πr

r

2

−2r=0

r(r−2)

⇒r=0 or r=2