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:
1. 2 units
2. 3 units
3. 4 units
4. 7 units

Answer 1

Let the radius of the circle be r.
$\therefore$ Perimeter of the circle = Circumference of the circle $=2\pi r$
$\therefore$ Area of the circle $=\pi r^2$
$\frac{A}{q}$,
$2\pi r=\pi r^2$
$\Rightarrow 2=r$
Thus, the radius of the circle is 2 units. Option (1) is correct.