Question

If the area and the circumference of circle are numerically equal, then the radius the circle is _______.

• A. $\frac{5}{2}$
• B. $2$
• C. $1$
• D. $\frac{2}{5}$

Answer 1

The correct option is B $2$

Let $r$ be the radius of a circle.

We know that, Area of a circle $=\pi r^2$

and Circumference of the circle $=2\pi r$.

Now it is given that, Area and circumference of the circle are numerically equal.
$⟹\pi r^2=2\pi r$
$⟹r=2$.

Hence, option $B$ is correct.