Question

The radius of the given circle is $7cm$, then the area of the shaded portion is _________.

• A. $14c{m}^2$
• B. $28c{m}^2$
• C. $7c{m}^2$
• D. $35c{m}^2$

Answer 1

The correct option is A $14c{m}^2$

Area of shaded portion=Area of sector-Area of Right angled triangle.

Area of sector=$\frac{\pi \times (7cm{)}^2}{4}=38.5c{m}^2$

Area of triangle: $\frac{1}{2}\times \left(7cm\right)\times \left(7cm\right)=24.5c{m}^2$

Thus Area of shaded portion=$(38.5-24.5)c{m}^2=14c{m}^2$