Question

If the area and circumference of a circle are numerically equal, then the diameter of the circle is:

• A. $3$ units
• B. $5$ units
• C. $4$ units
• D. $2$ units

Answer 1

The correct option is C $4$ units

Let $r$ be the radius of the circle

Now area of circle $=$ circumference of circle

$\pi r^2=2\pi r\frac{r^2}{r}=\frac{2\pi }{\pi }r=2$

Diameter of circle $=2r=4$ units