Question

Find the area of the shaded

sector of circle O. The radius is 6

inches and the central angle is

100°. Express answer to the

nearest tenth of a square inch.

Answer 1

31.4 Square Inches

Explanation:

Given a sector of a circle with the following dimensions:

Radius of the circle =6 inches

Central Angle of the sector =100°

`\text{Area of the sector=}(\theta)/(360^\circ)X\pi r^2`

`=(100^\circ)/(360^\circ)X\pi*6^2\\\\=10\pi\\\\=31.4$ Square Inches (correct to the nearest tenth of a square inch.)`