Grade 10 Geometry: Arcs
This worksheet covers key concepts related to arcs in circles, including arc measure, arc length, and their relationship to central angles.
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Grade 10 Geometry: Arcs
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Read each question carefully and answer to the best of your ability. Show all your work for calculations.
1. What is the measure of a central angle that subtends a minor arc of 80 degrees?
40 degrees
80 degrees
160 degrees
360 degrees
2. An arc that measures exactly 180 degrees is called a:
Minor arc
Major arc
Semicircle
Full circle
3. The measure of an arc is equal to the measure of its corresponding .
4. The formula for the length of an arc is L = (θ/360) * .
5. A circle has a radius of 10 cm. Find the length of an arc with a central angle of 90 degrees. Use π = 3.14. Show your work.
6. In circle P, the measure of arc AB is 120 degrees and the radius is 15 inches. What is the circumference of circle P? Then, what is the length of arc AB? Show your work.
7. A major arc always measures less than 180 degrees.
True
False
8. The length of an arc is directly proportional to the radius of the circle.
True
False
Match each term with its definition.
9. Arc Measure
a. A continuous part of a circle.
10. Arc Length
b. The distance along the arc.
11. Arc
c. The angle that an arc makes at the center of the circle.
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