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. ____________ 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 ________ ________________________________ ________________________________ b) ∠y = ________ ________________________________ ________________________________ c) z = ________ ________________________________ ________________________________ 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? ____________ Date _________________________________ c) ∠z = ________ _________________________________ 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 = ________ ________________________________ ________________________________ b) ∠y = ________ ________________________________ ________________________________ 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. ________________________________ ________________________________ ________________________________ 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? ________________________________ b) What do you know about all chords in this circle that are 6 cm from the centre? ________________________________ 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. ________________________________ ________________________________ ________________________________ 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.