Test Review: Arc measures and lengths

Test Review: Arcs and Central Angles of a Circle

findng central angle and arc degree measures

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What is the measure of arc AD?

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What is the measure of

$$\angle AOB$$  ?

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If the measure of arc ABC = 210°, what is the measure of arc AC?

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What is the measure of ∠PTQ?

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What is the measure of arc AB?

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What is the measure of arc WYZ?

What is a Central Angle?

A central angle is an angle whose vertex is at the center of the circle and is formed by two radii.

Ways to label angles

Multiple Select

Choose the correct way(s) to label the angle.

• $$\angle ABC$$

• $$\angle CBA$$

• $$\angle B$$

• $$\angle C$$

Ways of Labeling Arcs

• Use the endpoints of the arc:

• CB or BC would be the blue arc

• CDB or BDC would be the red arc (use points in-between endpoints to indicate which direction to go in)

• Arc CBD (Start at C, go to B then go to D)

Multiple Select

Choose the correct way to label the pink arc

• CB

• CAB

• AB

• BAC

• CDB

Labeling arcs and angles

Multiple Select

Check the boxes that have the correct label for the red arc.

• CDB

• CB

• D

• CAB

• BDC

Arc Lengths

Please use your guided notes to follow along.

​Circumference Formula!

Multiple Choice

What is the length of arc CD to the nearest hundredth?

• 14.58

• 28.98

• 20.20

• 29.32

Multiple Choice

Find the length of the bolded arc to the nearest hundredth.

• 11.54

• 12.11

• 11.21

• 9.89

Multiple Choice

How would you set up the equation based on the following circle?

• $$l=\frac{107\cdot2\pi6}{360}$$

• $$l\ =\frac{107\cdot c}{360}$$

• $$l=\frac{107\cdot6}{360}$$

• $$l\ =\ \frac{6\cdot2\pi107}{360}$$