# How do you find the area of a 120° sector of a circle whose radius is 6?

May 25, 2018

$\text{area "=12pi" units"^2~~37.7" to 1 dec. place}$

#### Explanation:

$\text{calculate the area of the sector using}$

$\text{area of sector "="area of circle "xx" fraction of circle}$

$\textcolor{w h i t e}{\times \times \times \times \times} = \pi {r}^{2} \times \frac{120}{360}$

$\textcolor{w h i t e}{\times \times \times \times \times} = \pi \times {6}^{2} \times \frac{1}{3}$

$\textcolor{w h i t e}{\times \times \times \times \times} = 36 \pi \times \frac{1}{3} = 12 \pi \approx 37.7$