Question

Tick the correct solution 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. $2units$
• B. $\pi units$
• C. $4units$
• D. $7units$

Answer 1

The correct option is A

$2units$

Let the radius of the circle be$r.$

$\mathrm{Circumference}\mathrm{of}\mathrm{circle}=2\pi r$

$\mathrm{Area}\mathrm{of}\mathrm{circle}=\pi r^2$

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

$2\pi r=\pi r^2$

$r=2units$

Hence, Option $A$ is the correct answer.