Question

$r$ is the radius and $l$ is the length of an arc. The area of a sector is ______.

• A. $\frac{1}{2}rl$
• B. $\frac{3}{2}{r}^{2}l$
• C. $\frac{4}{3}rl$
• D. $\frac{3}{2}rl$

Answer 1

The correct option is A $\frac{1}{2}rl$

$\begin{array}{c}Areaofa\sec tor=\frac{1}{2}{r}^2\theta \\ =\frac{1}{2}\times r\times r\theta \\ =\frac{1}{2}\times r\times l\\ Hence,optionAisthecorrectanswer.\end{array}$