Question

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

• A. 2 units
• B. π units
• C. 4 units
• D. 6 units

Answer 1

The correct option is A 2 units

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 $=\pi r^2$
Given: Area = Perimeter
$\Rightarrow$$2\pi r=\pi r^2$
$\Rightarrow 2=r$
Thus, the radius of the circle is 2 units.