Question

what is the area of the shaded sector of the circle if the radius is 14 ft? leave your answer in terms of pi

Answer 1

Given:

Radius = 14 ft

θ = 45°

To find:

Area of the shaded sector

Solution:

Area of the sector formula:

$\text { area of sector }=\frac{\theta}{360^{\circ}} \times \pi r^{2}$

                      $=\frac{45^\circ}{360^{\circ}} \times \pi \times 14^{2}$

                      $=\frac{1}{8} \times \pi \times 196$

                      $=24.5\pi$ ft²

The area of the shaded sector of a circle is 24.5π ft².