Question

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

• A. 1
• B. -1
• C. 3
• D. 2

Answer 1

The correct option is D 2

Let $r$ be the radius of the circle.

$\therefore$ Circumference of the circle$=2\pi r$ units

Area of the circle$=\pi r^2$sq.units.

From the given condition,

$\Rightarrow 2\pi r=\pi r^2$

$\Rightarrow 2=r$

$\therefore r=2$units