A circle has an 18-inch radius and a shaded sector with a central angle of 50°. Determine the area of the shaded sector.

Area of shaded region is 141.3 square inches

Step-by-step explanation:

It is given that,

A circle has an 18-inch radius and a shaded sector with a central angle of 50°

Area of circle = πr²

To find the area of circle

Area of circle = πr² = 3.14*18² = 3.14 * 18 * 18

Area = 1017.36 square inches

To find the part of shaded region

central angle of shaded region is 50°.

part of sector = 50/360 = 5/36

To find the area of shaded region

area of shaded region is 5/36th of total area of circle

Area of shaded region = 5/36 (1017.36) = 141.3 square inches