Central Angle Worksheet
A Grade 11 math worksheet focusing on central angles, their measurement, and their relationship with arcs in circles.
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Central Angle Worksheet
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Read each question carefully and provide the best answer. Show all your work for full credit.
1. Define a central angle in your own words.
2. How is the measure of a central angle related to the measure of its intercepted arc?
3. If a central angle measures 75 degrees, what is the measure of its intercepted arc?
37.5 degrees
75 degrees
150 degrees
360 degrees
4. What is the sum of the central angles in a circle?
90 degrees
180 degrees
270 degrees
360 degrees
5. A central angle's vertex is at the of the circle.
6. The two sides of a central angle are of the circle.
7. In the circle below with center O, if ∠AOB = 120°, what is the measure of arc AB?
8. A circle has a radius of 10 cm. If a central angle intercepts an arc of length 5π cm, what is the measure of the central angle in radians?
9. A central angle is always smaller than an inscribed angle that intercepts the same arc.
True
False
10. The measure of a major arc is always greater than 180 degrees.
True
False