Question

A circle is inscribed inside a square of side 2 m as shown below.
$\frac{Areaofsquare}{Areaofcircle}=?$

• A. 4:$\pi$
• B. $\pi$:4
• C. $\pi$:2
• D. 2:$\pi$

Answer 1

The correct option is A 4:$\pi$

Area of a square = (Side)${}^2$ = 2${}^2$ = 4 $m^2$

By observation,
Side length of the square = Diameter of the circle

$\Rightarrow$ Diameter = 2 m

$\Rightarrow \text{Radius}=\frac{\text{Diameter}}{2}=\frac{2\text{m}}{2}$ = 1 m

Area of a circle = $\pi$(radius)${}^2$
= $\pi$ (1)${}^2$
= $\pi$ $m^2$

$\therefore$ $\frac{Areaofsquare}{Areaofcircle}$ = $\frac{4m^2}{\pi m^2}$ = 4:$\pi$