Area of a Circle Sector Worksheet
Calculate the area of circle sectors given radius and angle in degrees or radians. Includes multiple choice, fill-in-the-blank, and short answer questions.
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Area of a Circle Sector
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Read each question carefully and calculate the area of the circle sector. Show all your work for short answer questions. Use π ≈ 3.14 where necessary, and round your answers to two decimal places.
1. What is the formula for the area of a sector with radius 'r' and central angle 'θ' in degrees?
A = (θ/180)πr²
A = (θ/360)πr²
A = θr²
A = (θ/2π)r²
2. Calculate the area of the sector shown below if the radius is 8 cm and the central angle is 45°.
25.12 cm²
50.24 cm²
100.48 cm²
200.96 cm²
3. If a sector has a radius of 10 cm and a central angle of 90°, its area is cm².
4. When the central angle of a sector is measured in radians, the formula for its area is A = .
5. A circular pizza has a radius of 12 inches. If a slice (sector) of the pizza has a central angle of 60°, what is the area of that slice? Show your work.
6. A sector of a circle has an area of 50π cm² and a radius of 10 cm. Find the central angle of the sector in degrees. Show your work.
7. If the central angle of a sector is doubled, its area also doubles (assuming the radius remains constant).
True
False
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