Question

The shaded area of the figure may be found by subtracting the area of the unshaded portion from the total area of the figure. Use this approach to find the area of the shaded region. Use 3.14 as an approximation for . for a (a circle within a square) 14m

Answer 1

Given,

diameter of the circle=side of the square, d=14 m

Therefore the radius of the circle, r=7 m

Area of the circle is given by,

`A=\pi r^2`

On substituting th known values,

`A=3.14*7^2=153.86m^2`

The area of the square is given by,

`A_S=d^2`

On substituting the known values,

`A_S=14^2=196m^2`

The area of the shaded region is given by,

`A_R=A_S-A=196-153.86=42.14m^2`

Therefore, the area of the shaded region is 42.14 m²