Area of a Circle Sector Worksheet
Calculate the area of circle sectors given radius and angle in radians or degrees.
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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.
1. Find the area of a sector of a circle with a radius of 8 cm and a central angle of 45°.
2. The formula for the area of a sector when the angle is in degrees is A = (θ/360°) * π * r². If a sector has a radius of 10 meters and a central angle of 72°, its area is approximately square meters.
3. A circle has a radius of 6 inches. What is the area of a sector with a central angle of π/3 radians?
4. Which of the following formulas is used to calculate the area of a sector when the central angle is given in radians?
A = (θ/180) * π * r²
A = (θ/360) * π * r²
A = (1/2) * r² * θ
A = π * r * θ
5. A sector of a circle has an area of 25π cm² and a radius of 10 cm. What is the measure of the central angle in degrees?
6. Doubling the radius of a circle sector will double its area, assuming the central angle remains constant.
True
False