Arcs and Sectors Worksheet
Grade 10 math worksheet covering the calculation of arc length and sector area in circles.
Includes
Standards
Topics
Arcs and Sectors
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Read each question carefully and show all your work. Use π ≈ 3.14 where necessary. Round your answers to two decimal places.
1. A circle has a radius of 10 cm. Calculate the length of an arc that subtends a central angle of 90 degrees.
2. Find the area of a sector with a radius of 12 meters and a central angle of 120 degrees.
3. The area of a circle is 100π square units. What is the radius of the circle?
5 units
10 units
20 units
25 units
4. The formula for the length of an arc is .
5. A sector is a region of a circle bounded by two radii and an .
6. If the central angle of a sector is doubled, its area also doubles.
True
False
7. A circular garden has a diameter of 20 feet. A sprinkler waters a sector of the garden with a central angle of 150 degrees. What is the area of the watered portion of the garden?
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