Question

A circle is inscribed in a square of side length 14 cm. Find the area of the shaded region.

• A. $42c{m}^2$
• B. $40c{m}^2$
• C. $14c{m}^2$
• D. $Noneofthese$

Answer 1

The correct option is A $42c{m}^2$

Area of remaining part = Area of square – Area of circle
Area of the square = ${14}^2=196c{m}^2$
The diameter of the circle will be same as the side of the square.
Radius = 7 cm
Area of the circle = $154c{m}^2$
Area of remaining part = 196 - 154 $=42c{m}^2$