Area of a Circle Sector Worksheet

Area of a Circle Sector

Read each question carefully and calculate the area of the circle sector. Show all your work.

1. A circle has a radius of 10 cm. Find the area of a sector with a central angle of 45°.

2. Calculate the area of a sector with a radius of 15 inches and a central angle of 2 radians.

3. The formula for the area of a sector when the central angle \(\theta\) is in degrees is \(A = \frac{\theta}{360^{\circ}} \times \pi r^{2}\), where 'r' is the   of the circle.

4. When the central angle \(\theta\) is given in radians, the formula for the area of a sector is \(A = \frac{1}{2} r^{2} \theta\). In this formula, \(\theta\) must be in  .

5. A circle has a radius of 8 cm. What is the area of a sector whose arc length is 12 cm?

6. A sector has an area of 50\(\pi\) cm² and a radius of 10 cm. What is the central angle in degrees?

7. If the radius of a circle is doubled, the area of a sector with the same central angle will also double.