Circle Geometry Practice

Name _________________________________
Date _________________________________
Extra Practice
9.1 Special Lines, Segments, and Angles in Circles
GS BLM 9.1
1. a) Identify the minor arc. ________
b) Identify the major arc. ________
4. Determine the length of the radius.
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2. a) Identify the central angle. ________
b) Identify the inscribed angle. ________
c) Which arc subtends ∠ACB? ________
5. Determine the measure of each unknown
angle or side length. Explain how you
found your answer.
a) ∠x = ________
3. In the diagram, identify each of the
following.
a) a radius ________
b) a chord ________
c) a tangent line ________
d) a diameter ________
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b) ∠y = ________
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c) z = ________
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Copyright © 2009 McGraw-Hill Ryerson Limited, a subsidiary of the McGraw-Hill Companies.
This page may be reproduced for classroom use by the purchaser of this book without the written permission of the publisher.
Name _________________________________
6. In a circle with centre E, ∠DEF = 150°.
What is the measure of ∠DGF?
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Date _________________________________
c) ∠z = ________
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7. How far is the chord UW from the
centre, T? ____________
8. Determine the measure of each indicated
angle. Explain how you found your
answer.
a) ∠x = ________
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b) ∠y = ________
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9. Jacynthe cut four circles out of a sheet of
plywood to make into wheels for a
model truck. Explain how she can find
the centre of each wheel using only a
ruler and a pencil. Use the diagram to
illustrate your solution.
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10. a) A circle has a diameter of 28 cm. A
chord is 6 cm from the centre of the
circle. How long is the chord?
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b) What do you know about all chords in
this circle that are 6 cm from the
centre?
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11. James went skeet shooting with his
father. He brought a piece of skeet home
so he could figure out how large it was.
Use the diagram to explain how James
determined the diameter of the skeet.
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Copyright © 2009 McGraw-Hill Ryerson Limited, a subsidiary of the McGraw-Hill Companies.
This page may be reproduced for classroom use by the purchaser of this book without the written permission of the publisher.
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