Question

The area of the sector of a circle of radius $5$ cm, if the corresponding arc length is $3.5$ cm is

• A. $17.4$ $c{m}^2$
• B. $4.35$ $c{m}^2$
• C. $8.75$ $c{m}^2$
• D. $13.05$ $c{m}^2$

Answer 1

The correct option is C $8.75$ $c{m}^2$

Given-

The arc length $\left(l\right)$ of a sector $=3.5$ cm

The radius$\left(r\right)$ of the sector $=5$ cm

To find out: area of sector

Solution-

The area of a sector, of arc length $=l$ and radius $=r$ is $\frac{r\times l}{2}$ .

$\therefore$ area of sector $=\frac{5\times 3.5}{2}=8.75{cm}^2$.