Answer:
117.81 in²
Step-by-step explanation:
Given that,
arc length of sector = 5π
arc angle of sector = π/3
Formula to find the area of a sector of a circle
½ r² ∅
where
r is the radius
∅ the angle in radians subtended by the arc at the centre of the circle
First we need to find the radius of circle
length of arc = radius x angle of sector
5π = r x π/3
5π / (π/3) = r
r = 15
Now put this value in the formula of area of sector
½ (15)² (π/3)
= 75π/2
= 117.81 in²
