# How do you find area of sector if angle is 0.4 rad and adjacent angle/radius is 10?

Sep 7, 2017

$20 {\text{ units}}^{2}$

#### Explanation:

Area of sector is

${A}_{s} = \frac{1}{2} {r}^{2} \theta$

$r = \text{the radius}$
$\theta = \text{the angle in radians}$

${A}_{s} = \frac{1}{2} \times {10}^{2} \times 0.4$

${A}_{s} = \frac{1}{2} \times 100 \times 0.4 = \frac{1}{2} \times 40 = 20 {\text{units}}^{2}$