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]