Intercepted Arcs and Angles Worksheet
Grade 12 Math worksheet focusing on intercepted arcs, central angles, inscribed angles, and their relationships within a circle.
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Intercepted Arcs and Angles
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Read each question carefully and answer to the best of your ability. Show all work where applicable.
1. What is the measure of a central angle if its intercepted arc measures 70 degrees?
35 degrees
70 degrees
140 degrees
Not enough information
2. An inscribed angle intercepts an arc of 120 degrees. What is the measure of the inscribed angle?
30 degrees
60 degrees
120 degrees
240 degrees
3. The measure of an inscribed angle is the measure of its intercepted arc.
4. A central angle is an angle whose vertex is at the of the circle.
5. In a circle, if an inscribed angle and a central angle intercept the same arc, how do their measures relate? Explain your reasoning.
6. In the circle below, if the measure of arc AC is 80 degrees, what is the measure of inscribed angle ABC?
7. If two inscribed angles intercept the same arc, then they are congruent.
True
False