Question

The radius of a circle is $7cm$, then area of the sector of this circle if the corresponding angle is ${30}^{\circ }$ is

• A. $12.83c{m}^2$
• B. $11.83c{m}^2$
• C. $12.25c{m}^2$
• D. None of these

Answer 1

The correct option is A $12.83c{m}^2$

Area of a sector of a circle of radius '$r$' and angle $=\frac{\theta }{360}\pi r^2$
Hence, area of the sector of the circle of radius $7$ cm and angle $=\frac{30}{360}\times \frac{22}{7}\times 7\times 7=12.83{\text{cm}}^2$