Question

If circumference and area of a circle are numerically equal, then the diameter of the circle is 4 units.

• A. True
• B. False

Answer 1

The correct option is A

True

Given,
Area of the circle = Circumference of the circle
$\Rightarrow$ $\pi r^2=2\pi r$, where $r$ is the radius of the circle.
$\Rightarrow$ $r^2=2r$
$\Rightarrow$ $r=2$
$\Rightarrow$ $2r=4$
$\therefore$ The diameter of the given circle is 4 units long.