Question

What is the area of a circle that is inscribed in a square of side 4 m?

• A. $2\pi {\text{m}}^2$
• B. $\pi {\text{m}}^2$
• C. $4\pi {\text{m}}^2$
• D. $8\pi {\text{m}}^2$

Answer 1

The correct option is C $4\pi {\text{m}}^2$

Given, the side of the square is 4 m.

When a circle is inscribed in a square, the diameter of the circle is equal to the side length of the square.


So, the diameter of the circle$\left(d\right)$ is 4 m.

Radius of the circle$\left(r\right)=\frac{d}{2}=\frac{4}{2}\text{m}=2\text{m}$

$\therefore$ Area of the circle $=\pi \times r^2=\pi \times 2^2=\pi \times 4=4\pi {\text{m}}^2$
Option (c.) is the correct choice.