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
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Read each question carefully and provide your answer in the space provided. Show all your work for full credit.
1. In the circle below, O is the center. If m∠AOB = 75°, what is the measure of arc AB?
2. An inscribed angle's measure is always the measure of its intercepted arc.
3. If an inscribed angle intercepts a semicircle, then the angle must be a angle.
4. In circle P, chord AB is congruent to chord CD. If m arc AB = 110°, what is m arc CD?
5. What is the measure of an arc intercepted by an inscribed angle of 40°?
20°
40°
80°
160°
6. A major arc has a measure greater than 180°.
True
False
7. In a circle, if a tangent segment and a secant segment are drawn from an external point, and the secant intersects the circle at points A and B, and the tangent touches the circle at point C, describe the relationship between the measure of the angle formed by the tangent and secant and the intercepted arcs.