Question

Formula to find area of sector is .............

• A. $\frac{1}{2}rl$
• B. $\frac{\pi r\theta }{360}$
• C. $\frac{\pi r^2\theta }{180}$
• D. $\pi r^2$

Answer 1

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

Area of a minor sector
$=\frac{\pi r^2\theta }{360}$
$=\frac{r}{2}\times \frac{\pi r\theta }{180}$
$=\frac{r}{2}\times$ $(\because \text{length of min or arc l}=\frac{\pi r\theta }{180})$
$=\frac{1}{2}rl$