Arcs and Sectors Geometry Worksheet
A Grade 9 math worksheet focusing on calculating arc length, sector area, and related properties of circles.
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Arcs and Sectors Geometry Worksheet
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Read each question carefully and provide your answers in the space provided. 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. Calculate the length of arc AB in a circle with a radius of 8 cm and a central angle of 60°.
2. Find the area of the sector formed by a central angle of 120° in a circle with a radius of 10 cm.
3. A circle has a circumference of 36π cm. What is the length of an arc that subtends a central angle of 90°?
9π cm
18π cm
4.5π cm
36π cm
4. The formula for the area of a sector with radius 'r' and central angle 'θ' (in degrees) is Area = .
5. An arc that measures exactly half of the circumference of a circle is called a arc.
6. If the radius of a circle is doubled, the length of an arc with the same central angle will also double.
True
False
7. A circular pizza has a diameter of 16 inches. If the pizza is cut into 8 equal slices, what is the area of one slice (sector)?