Question

A circle is inserted inside a square, such that the edge of the circle touches the sides of the square.If X = 14 cm, the area of the shaded portion will be __sq.cm.

Answer 1

Here we are asked to find the area of the shaded area. The area of the shaded area should be the difference between the area of the square and the area of the circle.

Here we are given the side of the square, x = 14 cm The equation for the area of the square is = $x^2$ = ${14}^2$

= 196$c{m}^2$

Therefore the radius of the circle will be, r =$\frac{d}{2}$

r = $\frac{14}{2}$ = 7 cm

Area of the circle,

A=$\pi \times r^2$ (use π = 22/7)

= $\left(\frac{22}{7}\right)\times 7^2$ = 154 $c{m}^2$

Area of the shaded portion = Area of the square - Area of the circle

= 196 - 154 =42 $c{m}^2$

Therefore the area of the shaded portion will be 42 $c{m}^2$