Answer: Area of sector MAP = 2500.8 inches²
Step-by-step explanation:
The circle is divided into 2 sectors. The shaded sector is the larger one. The formula for determining the area of a sector is expressed as
Length of arc = θ/360 × 2πr
Where
θ represents the central angle.
r represents the radius of the circle.
π is a constant whose value is 3.14
From the information given,
Radius, r = 32 inches
θ = 280 degrees
Therefore,
Area of sector MAP = 280/360 × 3.14 × 32²
= 2500.8 inches²