Area of Sectors

A region bounded by two radii of the circle and their intercepted arc.

The area of a sector can be calculated using the formula: $$\text{Area} = \frac{\theta}{360} \times \text{πr}^2$$ , where $$\theta$$ is the central angle in degrees and $$r$$ is the radius.

The area of a sector can be calculated using the formula: $$\text{Area} = \frac{1}{2} r^2 \theta$$ , where $$\theta$$ is the angle in radians.

Using the formula: $$\text{Area} = \frac{60}{360} \times \text{π} \times 7^2 = \frac{1}{6} \times \text{π} \times 49 = \frac{49\text{π}}{6} \text{ cm}^2$$ .

Using the formula: $$\text{Area} = \frac{90}{360} \times \text{π} \times 10^2 = \frac{1}{4} \times \text{π} \times 100 = 25\text{π} \text{ cm}^2$$ .

Using the formula: $$\text{Area} = \frac{120}{360} \times \text{π} \times 5^2 = \frac{1}{3} \times \text{π} \times 25 = \frac{25\text{π}}{3} \text{ cm}^2$$ .

Using the formula: $$\text{Area} = \frac{45}{360} \times \text{π} \times 8^2 = \frac{1}{8} \times \text{π} \times 64 = 8\text{π} \text{ cm}^2$$ .

Using the formula: $$\text{Area} = \frac{30}{360} \times \text{π} \times 12^2 = \frac{1}{12} \times \text{π} \times 144 = 12\text{π} \text{ cm}^2$$ .

Using the formula: $$\text{Area} = \frac{180}{360} \times \text{π} \times 15^2 = \frac{1}{2} \times \text{π} \times 225 = \frac{225\text{π}}{2} \text{ cm}^2$$ .

Using the formula: $$\text{Area} = \frac{270}{360} \times \text{π} \times 9^2 = \frac{3}{4} \times \text{π} \times 81 = \frac{243\text{π}}{4} \text{ cm}^2$$ .