Question

The radius of a circle is 8 feet. What is the area of a sector bounded by a 144° arc?

Answer 1

`A_(sector) \approx \: 80.38 \: {ft}^(2)`

Explanation:

`A_(sector) = ( \theta)/(360 \degree) * \pi {r}^(2) \\ \\ A_(sector) = (144 \degree)/(360 \degree) * 3.14 * {(8)}^(2) \\ \\ A_(sector) = 0.4 * 3.14 * {(8)}^(2) \\ \\ A_(sector) = 80.384 \\ \\ A_(sector) \approx \: 80.38 \: {ft}^(2)`