Answer:
Area of the sector = 29.48 square miles.
Step-by-step explanation:
Given:
Radius of a circle = 13 miles
Angle bounded by the arc = 20 deg
To find
Area of the sector bounded by 20 degrees.
Note: Area of a sector = [tex]\frac{(\theta)}{360}\times \pi\times r^2[/tex]
Plugging the values in the equation.
⇒ [tex]\frac{(\theta)}{360}\times \pi\times r^2[/tex]
⇒ [tex](\frac{20}{360})\times 3.14\times 13^2[/tex]
⇒ [tex]29.48[/tex] square-miles
So the area of the sector bounded by 20 degree arc is 29.48 square miles.
