Question

If the perimeter is half of the area of the circle numerically then find the radius of the circle.

Answer 1

According to the given question,

Perimeter is half of the area of circle

Then,

$perimeter=\frac{Area}{2}$

$\Rightarrow 2\pi r=\frac{\pi r^2}{2}$

$\Rightarrow 4\pi r=\pi r^2$

$\Rightarrow 4r=r^2$

$\Rightarrow r=4$

Hence, this is the answer.