Question

Match the following radii of the circle with their corresponding area of the sector if
θ = 30°

• A. $51.3c{m}^2$
• B. $3.2c{m}^2$
• C. $12.8c{m}^2$

Answer 1

Area of sector = $\frac{\theta }{360}\times \pi r^2$

If radius = 7cm
Area of sector = $\frac{30}{360}\times \frac{22}{7}\times 7^2=12.8c{m}^2$

If radius = 3.5cm
Area of sector = $\frac{30}{360}\times \frac{22}{7}\times (3.5{)}^2=3.2c{m}^2$

If radius = 14cm
Area of sector = $\frac{30}{360}\times \frac{22}{7}\times (14{)}^2=51.3c{m}^2$