Answer:
Area of shaded region is 141.3 square inches
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