58
In the given figure, three sectors of a circle of radius $5$ cm, making angles $35^\circ$, $50^\circ$ and $95^\circ$ at the centre are shaded. Find the area of the shaded region. [Use $\pi = \frac{22}{7}$]
_q_1.png)
Show SolutionHide Solution↓
Area of shaded region $= \frac{95}{360} \times \frac{22}{7} \times (5)^2 + \frac{50}{360} \times \frac{22}{7} \times (5)^2 + \frac{35}{360} \times \frac{22}{7} \times (5)^2$
$= \frac{(95+50+35)}{360} \times \frac{22}{7} \times (5)^2$
$= \frac{180}{360} \times \frac{22}{7} \times (5)^2$
$= \frac{275}{7}$ cm$^2$ or $39.29$ cm$^2$ approx.
$= \frac{(95+50+35)}{360} \times \frac{22}{7} \times (5)^2$
$= \frac{180}{360} \times \frac{22}{7} \times (5)^2$
$= \frac{275}{7}$ cm$^2$ or $39.29$ cm$^2$ approx.