37
The perimeter of a sector of a circle of radius $15$ cm is $80$ cm. Find the area of the sector.
Show SolutionHide Solution↓
Perimeter of sector = $30 + l = 80$
$\Rightarrow l = 50$ cm
$\therefore$ Area of the sector = $\frac{1}{2} \times 15 \times 50$
$= 375 \text{ cm}^2$
$\Rightarrow l = 50$ cm
$\therefore$ Area of the sector = $\frac{1}{2} \times 15 \times 50$
$= 375 \text{ cm}^2$