Central Angle Practice Worksheet
A Grade 10 math worksheet focusing on understanding and calculating central angles in circles, including their relationship with arcs and sectors.
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Central Angle Practice
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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 a central angle?
An angle whose vertex is on the circle.
An angle whose vertex is the center of the circle.
An angle formed by two chords.
An angle equal to 90 degrees.
2. The measure of a central angle is always equal to the measure of its intercepted arc.
True
False
3. In a circle with center O, if the central angle ∠AOB measures 120°, what is the measure of arc AB?
4. If a circle has a radius of 5 cm and a central angle of 60°, calculate the length of the intercepted arc.
5. The sum of all central angles in a circle is degrees.
6. A central angle subtends a(n) arc.
7. If the measure of an arc is 90°, the measure of its corresponding central angle is .
8. A central angle's vertex is always at the circumference of the circle.
True
False
9. Two central angles are congruent if and only if their intercepted arcs are congruent.
True
False
10. A circular pizza is cut into 8 equal slices. What is the measure of the central angle for each slice?