Area of Sector of a Circle Worksheet
Calculate the area of sectors of circles using given radii and central angles. This worksheet is designed for Grade 9 students.
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Area of Sector of a Circle
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Read each question carefully and calculate the area of the sector. Use π ≈ 3.14 and round your answers to two decimal places where necessary.
1. Find the area of a sector of a circle with a radius of 8 cm and a central angle of 45°.
2. A circular garden has a radius of 15 meters. A section of the garden is dedicated to roses, forming a sector with a central angle of 120°. Calculate the area of the rose section.
3. The formula for the area of a sector is A = (θ/360°) × .
4. If the central angle of a sector is 180°, the sector represents a of the circle.
5. What is the approximate area of a sector with a radius of 10 cm and a central angle of 60°?
52.33 cm²
78.50 cm²
104.67 cm²
314.00 cm²
6. If the area of a sector is 20π cm² and the central angle is 72°, what is the radius of the circle?
5 cm
10 cm
15 cm
20 cm
7. The area of a sector is directly proportional to its central angle.
True
False
8. Doubling the radius of a circle will double the area of a sector with the same central angle.
True
False