Question

12) Find the area of the sector with a central angle of 120° and a radius of 8 inches. Leave in terms of π.

Answer 1

The equation is (120/360)(pi)(8^2). The answer would be 21.3pi

Answer 2

`\bf \textit{area of a sector of a circle}\\\\ A=\cfrac{\pi r^2 \theta }{360}\qquad \begin{cases} r=radius\\ \theta =angle~in\\ \qquad degrees\\ ------\\ r=8\\ \theta =120 \end{cases}\implies A=\cfrac{\pi \cdot 8^2\cdot 120}{360} \\\\\\ A=\cfrac{\pi \cdot 64\cdot 120}{360}\implies A=\cfrac{64\pi }{3}`