Given:
Radius = 14 ft
θ = 45°
To find:
Area of the shaded sector
Solution:
Area of the sector formula:
[tex]$\text { area of sector }=\frac{\theta}{360^{\circ}} \times \pi r^{2}[/tex]
[tex]$=\frac{45^\circ}{360^{\circ}} \times \pi \times 14^{2}[/tex]
[tex]$=\frac{1}{8} \times \pi \times 196[/tex]
[tex]=24.5\pi[/tex] ft²
The area of the shaded sector of a circle is 24.5π ft².
