Area of a Circular Sector Worksheet
This worksheet focuses on calculating the area of sectors of circles, including problems involving radians and degrees, and real-world applications.
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Area of a Circular Sector
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Read each question carefully and calculate the area of the circular sector. Show all your work for full credit. Use π ≈ 3.14 where necessary, and round your answers to two decimal places unless otherwise specified.
1. Find the area of a sector with a radius of 10 cm and a central angle of 45°.
2. A circle has a radius of 6 meters. What is the area of a sector with a central angle of 2.5 radians?
3. The formula for the area of a sector when the central angle θ is in degrees is A = (θ/360°) × .
4. If the central angle θ is in radians, the formula for the area of a sector is A = 0.5 × r² × .
5. A sector with a central angle of 180° is a semicircle.
True
False
6. A circular pizza has a radius of 12 inches. If a slice of pizza represents a sector with a central angle of 40°, what is the area of one slice?
37.70 sq in
50.27 sq in
75.40 sq in
150.80 sq in
7. A lawn sprinkler sprays water in a circular pattern with a radius of 15 feet. If the sprinkler rotates through an angle of 120°, what is the area of the lawn that gets watered?