Question

Find the area of a sector with an arc length of 60 in. and a radius of 15 in.




A.

117.75 in.²


B.

282.60 in.²


C.

450 in.²


D.

6,750 in.²

Answer 1

\[Area = \pi r^2 * \frac{\theta}{2\pi} \]
\[Arc length = r \theta \rightarrow \theta = \frac{60}{15} = 4\]
\[\rightarrow Area = \pi (15)^2 * \frac{4}{2 \pi} = 450\]