Question

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

• 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.

$\text{∴ Circumference of the circle}=2\pi r$

$\text{And, area of the circle}=\pi r^2$

Given,
Area = Circumference
$\Rightarrow 2\pi r=\pi r^2$
$\Rightarrow 2=r$

Thus, the radius of the circle is 2 units.