Question

A circle is inscribed in a square of side 28 cm such that the circle touches each side of the square. Find the area of the circle. (Use π = 3.14)

• A. $661c{m}^2$
• B. $616c{m}^2$
• C. $166c{m}^2$
• D. $660c{m}^2$

Answer 1

The correct option is B $616c{m}^2$

From the figure, we can observe that
side of the square = diameter of the circle

Given, side of the square = 28 cm
$\Rightarrow$ diameter of the circle = 28 cm

Hence, radius = $\frac{28}{2}$= 14 cm

Area of the circle = $\pi r^2$
$=\frac{22}{7}\times (14{)}^2=616c{m}^2$