Answer:
A = 10.8π ft²
Explanation:
the angle at the centre of the sector is equal to the arc that subtends it, that is
central angle = 48°
the area (A) of the sector is calculated as
A = area of circle × fraction of circle
= πr² ×
= π × 9² ×
= 81π ×
=
× π
= 10.8π ft² ← exact answer
(≈ 33.9 ft² ( to the nearest tenth ) )