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Intercepted Arcs Worksheet

Grade 9 Math worksheet on intercepted arcs, central angles, and inscribed angles.

Grade 9 Math GeometryIntercepted Arcs
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Includes

Multiple ChoiceFill in the BlanksShort AnswerCustomTrue / False

Standards

CCSS.MATH.CONTENT.HSG.C.A.2

Topics

GeometryCirclesIntercepted ArcsAngles
7 sections · Free to use · Printable
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Intercepted Arcs Practice

Name:

Date:

Score:

Read each question carefully and answer to the best of your ability. Show all your work where applicable.

1. What is the measure of a central angle that intercepts an arc of 70 degrees?

a

35 degrees

b

70 degrees

c

140 degrees

d

180 degrees

2. An inscribed angle intercepts an arc of 120 degrees. What is the measure of the inscribed angle?

a

30 degrees

b

60 degrees

c

120 degrees

d

240 degrees

3. The measure of a central angle is   to the measure of its intercepted arc.

4. An inscribed angle's measure is   the measure of its intercepted arc.

5. In a circle, if a central angle measures 90 degrees, what is the measure of the intercepted arc? Provide a brief explanation.

6. Use the diagram below to answer the question:

OAB70°

If the central angle ∠AOB measures 70 degrees, what is the measure of arc AB?

7. A semicircle measures 180 degrees.

T

True

F

False