Arcs in Circles Worksheet
A Grade 11 math worksheet focusing on understanding and calculating properties of arcs in circles, including arc length and central angles.
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Arcs in Circles Worksheet
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Read each question carefully and answer to the best of your ability. Show all work for problems requiring calculations.
1. What is the measure of a central angle that subtends an arc of 60 degrees?
30 degrees
60 degrees
90 degrees
120 degrees
2. If the radius of a circle is 7 cm and the central angle of an arc is 90 degrees, what is the length of the arc? (Use π ≈ 3.14)
7.85 cm
10.99 cm
14.13 cm
21.98 cm
3. An arc whose measure is greater than 180 degrees is called a arc.
4. The formula for the length of an arc is L = (θ/360°) * , where r is the radius and θ is the central angle in degrees.
5. A circle has a circumference of 36π units. Find the length of an arc with a central angle of 100 degrees. Show your work.
6. A semicircle is an arc that measures exactly 180 degrees.
True
False
7. The measure of an inscribed angle is equal to the measure of its intercepted arc.
True
False
8. In the circle below with center O, if the radius is 5 units and the central angle ∠AOB is 72 degrees, calculate the length of arc AB. Round your answer to two decimal places.