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.

Respuesta :

Answer:

31.4 Square Inches

Step-by-step explanation:

Given a sector of a circle with the following dimensions:

Radius of the circle =6 inches

Central Angle of the sector =100°

[tex]\text{Area of the sector=}\dfrac{\theta}{360^\circ}X\pi r^2[/tex]

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