Area of a Circle Sector Worksheet
Calculate the area of circle sectors given radius and central angle, and solve related problems.
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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. Round your answers to two decimal places.
1. Find the area of a sector of a circle with a radius of 10 cm and a central angle of 90°.
2. A circular pizza has a radius of 12 inches. If a slice of pizza represents a sector with a central angle of 45°, what is the area of one slice?
3. The formula for the area of a circle sector is A = (θ/360°) × πr², where θ is the and r is the of the circle.
4. If a sector has a central angle of 180°, it is also known as a .
5. Which of the following best describes a sector of a circle?
A line segment connecting two points on the circle.
A region bounded by two radii and an arc of the circle.
The distance around the circle.
A chord that passes through the center of the circle.
6. A circular garden has a radius of 20 feet. A sprinkler covers a sector of the garden with a central angle of 120°. What percentage of the garden's total area is covered by the sprinkler?