Grade 9 Math: Arc Measures Worksheet
This worksheet focuses on understanding and calculating arc measures in circles, including central angles, inscribed angles, and intercepted arcs.
Includes
Standards
Topics
Arc Measures in Circles
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Read each question carefully and answer to the best of your ability. Show all your work for full credit.
1. What is the measure of a central angle that intercepts a minor arc of 75 degrees?
37.5 degrees
75 degrees
150 degrees
300 degrees
1. An arc with a measure greater than 180 degrees is called a arc.
2. The measure of an inscribed angle is the measure of its intercepted arc.
1. In a circle, if a central angle measures 110 degrees, what is the measure of the major arc it intercepts?
1. All semicircles measure exactly 180 degrees.
True
False
2. In the circle below, O is the center. If the measure of arc AB is 80 degrees, what is the measure of angle ACB?
Match the term with its definition.
1. Minor Arc
a. An angle whose vertex is on the circle and whose sides are chords.
2. Major Arc
b. An arc whose measure is less than 180 degrees.
3. Inscribed Angle
c. An arc whose measure is greater than 180 degrees.
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