Area of a Circle Sector Worksheet
This worksheet focuses on calculating the area of a circle sector, including problems involving different units and real-world applications.
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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. 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?
77 sq. inches
154 sq. inches
38.5 sq. inches
19.25 sq. inches
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.
True
False