Question

If the perimeter and the area of a circle are numerically equal, then the radius of the circle is

• A. $2$ units
• B. $\pi$ units
• C. $4$ units
• D. $7$ units

Answer 1

The correct option is A $2$ units

Step 1: Interpret the given data.
Perimeter and area of circle are numerically equal.​

Step 2: Finding the radius of the circle.
Let $r$ be radius of the circle.
According to the given condition
$2\pi r=\pi r^2$
$\Rightarrow 2r=r^2$
$\Rightarrow r=2$

The radius of the circle whose circumference and area are numerically equal is $2$ units.
Hence, correct option is (a).