Question

Determine the area of the shaded sector in the circle below. Round to the nearest tenth of an inch.

Answer 1

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