#### Question

Tick the correct answer 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

2 units

π units

4 units

7 units

#### Solution

Let the radius of the circle be *r*.

Circumference of circle = 2π*r*

Area of circle = π*r*^{2}

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

This implies 2π*r* = π*r*^{2}

2 = *r*

Therefore, the radius of the circle is 2 units.

Hence, the correct answer is 2 units.

Is there an error in this question or solution?

Solution Tick the correct answer 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 Concept: Perimeter and Area of a Circle.