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10.2 Central Angles and Arcs of a Circle

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Last updated almost 2 years ago
13 questions
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Question 1
1.

Hint: The measure of a full circle is 360 degrees. Label your answer!

Question 2
2.

Find the value of x.
Hint: The measure of a full circle is 360 degrees. Label your answer!

Question 3
3.

Find the measure of the central angle BRC.
Hint: The measure of half a circle is 180 degrees. Label your answer!

Question 4
4.

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Question 5
5.

Question 6
6.

Question 7
7.

Find the measure of arc UQ. Label your answer!

Question 8
8.

Find the measure of arc US. Label your answer!

Question 9
9.

Find the measure of arc PQS. Label your answer!

Question 10
10.

Find the measure of arc PRU. Label your answer!

Question 11
11.

Question 12
12.

Calculate the length of arc MN, if the radius is 3 inches. Round to the nearest hundredth.

Question 13
13.

Calculate the length of arc KM, if the radius is 9 inches. Round to the nearest hundredth.

Match the measure of the central angle with the correct arc.
Hint: The measure of half a circle is 180 degrees.
100 degrees
130 degrees
180 degrees
210 degrees
50 degrees
A survey asked students their preference for the new mascot. The results are below in the pie chart:
Find the measure of arc AB. Hint a full circle is 360 degrees.
90 degrees
72 degrees
20 degrees
45 degrees
A survey asked students their preference for watching a sport. The results are below in the pie chart:











Find the measure of arc ABC. Hint a full circle is 360 degrees.
50 degrees
100 degrees
140 degrees
180 degrees
Calculate the length of arc LM, if the radius is 5 inches. Round to the nearest hundredth.
8.73 inches
9.01 inches
8.55 inches
7.98 inches