Question

In the given figure, Find the shaded area (use $\pi =\frac{22}{7}$)

• A. $205.03c{m}^2$
• B. $205.04c{m}^2$
• C. $205.33c{m}^2$
• D. $205.25c{m}^2$

Answer 1

The correct option is C $205.33c{m}^2$

Radius = $14cm$
Angle subtended by the arc = ${120}^{\circ }$
Area of the sector = $\frac{\theta }{{360}^{\circ }}\times \pi r^2$

Area of the sector = $\frac{120}{360}\pi (14{)}^2$

Area of the sector = $205.33$ $c{m}^2$.