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. Use π ≈ 3.14 where necessary.

1. A circle has a radius of 8 cm. Find the area of a sector with a central angle of 90°.

2. Calculate the area of a sector with a radius of 12 meters and a central angle of 120°.

3. The formula for the area of a sector with radius 'r' and central angle 'θ' (in degrees) is Area =  .

4. If the central angle of a sector is 360°, the area of the sector is equal to the   of the circle.

5. A circular pizza has a radius of 14 inches. If a slice of pizza represents a sector with a central angle of 45°, what is the area of one slice?

6. A sprinkler waters a circular area with a radius of 10 feet. If it rotates 180 degrees, what is the area of the ground watered by the sprinkler?

7. Doubling the radius of a sector will double its area, assuming the central angle remains constant.