Area of Sector of a Circle
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 Sector of a Circle
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Read each question carefully and show all your work. Calculate the area of each sector of a circle as indicated. Round your answers to two decimal places where necessary.
1. Find the area of a sector with a radius of 8 cm and a central angle of 90°.
2. A sector has a radius of 12 meters and a central angle of 120°. Calculate its area.
3. The area of a sector with a radius of 5 cm and a central angle of π/3 radians is cm².
4. If a sector has an area of 24π square units and a radius of 6 units, its central angle in radians is .
5. Which formula is used to calculate the area of a sector when the central angle θ is in radians?
A = (θ/360°)πr²
A = (1/2)r²θ
A = πr²
A = rθ
6. A circular garden has a radius of 10 feet. A section of the garden is dedicated to roses, forming a sector with a central angle of 72°. What is the area of the rose section?
7. A pizza with a 16-inch diameter is cut into 8 equal slices. What is the area of one slice of pizza?
8. Doubling the radius of a sector will double its area if the central angle remains constant.
True
False