ssignment ssignment for Lesson.1 Name Date Riding a Ferris Wheel Introduction to Circles 1. For each term, name all of the components of circle Y that are examples of the term. G R Y O T M a. Chord b. Radius c. Diameter d. Tangent e. rc f. Major arc g. Minor arc h. emicircle i. ecant Chapter ssignments 129
2. On circle R, draw each item. a. tangent JB b. radius RB c. diameter BH d. chord HI e. secant HJ 3. Use circle R from Question 2. Name all of the examples of each term. a. Major arc b. Minor arc c. emicircle 130 Chapter ssignments
ssignment ssignment for Lesson.2 Name Date Holding the Wheel Central ngles, Inscribed ngles, and Intercepted rcs Use circle to complete Questions 1 through 5. F I H C R 1. uppose that m C 59º. Find m CF. 2. uppose that m CI 124º. Find m F I. 3. uppose that m C 55º. Find m FC. 4. uppose that m FI 71º. Find m I C. 5. What is m FC? 6. In circle shown below, m NG 74º. Find m G and m NG. N G Chapter ssignments 131
7. In circle H shown below, m C is 5º, m is 47º, and m T is 0º. Find m TC, m TC, m C, and m T. T H C 132 Chapter ssignments
ssignment ssignment for Lesson.3 Name Date Manhole Covers Measuring ngles Inside and Outside of Circles 1. In circle P shown below, m D 75º and m N 49º. Find the value of x. D x P N 2. In circle P shown below, m DN 144º and m NC 68º. Find m. D P N C 3. In circle O shown below, m N 55º and m H 35º. Find m CH. N C O H Chapter ssignments 133
4. In circle O shown below, m 11º and mm 4º. Find m DCM. O C D M 5. In circle shown below, m R 38º and m OT 121º. Find m OUT. U R O T 134 Chapter ssignments
Name Date 6. In circle shown below, O is the diameter of the circle and m OT 132º. Find m OUT. O U T P 7. In circle G shown below, OH, m OH 41º and m H 171º. Find m UH. U O 41 H G 41 171 Chapter ssignments 135
8. In circle G shown below, mh 99º. Find m HU. R G H U 9. In circle T shown below, m RC is 57º and m R is 141º. Find m BL. L C B T R 136 Chapter ssignments
ssignment ssignment for Lesson.4 Name Date Color Theory Chords and Circles Use circle T below to complete Questions 1 through 7. T 1. Draw an inscribed right angle in circle T. Label each point where the angle intersects the circle. What is the name of the right angle? 2. Draw the chord determined by the inscribed right angle. What is the name of the chord? 3. What else do you know about the chord determined by an inscribed right angle? 4. Draw a second inscribed right angle in circle T. Label each point where the angle intersects the circle. What is the name of the second right angle? 5. Draw the chord determined by the second inscribed right angle. What is the name of the chord? 6. What else do you know about the chord determined by the second inscribed right angle. 7. Do you think every inscribed right angle will determine the longest chord of the circle, which is the diameter of the circle? Use complete sentences to explain your reasoning. Chapter ssignments 137
8. The figure below shows a section of a circle. Draw two chords and construct their perpendicular bisectors to locate the center of the circle. 9. In circle G shown below, MG = 1.84 centimeters, GL = 1.98 centimeters, m GLH = 90, and m GMK 90º. Determine which chord is longer, IH or JK. Use complete sentences to explain your reasoning. J I G M L H K 138 Chapter ssignments
ssignment ssignment for Lesson.5 Name Date olar clipses Tangents and Circles 1. In the space below, draw circle O with a tangent line drawn. Label the point of tangency as point. 2. Label another point on the tangent as point B. 3. Draw a second tangent line to the circle that passes through point B. Label this second point of tangency as point C. 4. Draw the radii O and OC. 5. What is m OB? xplain how you found your answer. 6. What is m OCB? xplain how you found your answer. 7. Use a protractor to measure OC. 8. What is m BC? xplain how you found this measure. Chapter ssignments 139
140 Chapter ssignments
ssignment ssignment for Lesson.6 Name Date Gears rc Length 1. In circle shown below, describe the difference between the measure of minor arc BC and the length of minor arc BC. Use complete sentences in your answer. B C 2. In circle shown below, the radius of the circle is 16 centimeters and m JB is 40. Find the arc length of JB. Use complete sentences in your answer. J B Chapter ssignments 141
3. In circle I shown below, the radius is 6 millimeters and m HC C. Use complete sentences in your answer. is 80. Find the arc length of R I D H C 80 4. In circle H shown below, the arc length of J is 24 centimeters and m JO is 80. Find the length of a diameter of circle H. Use complete sentences in your answer. H O J 142 Chapter ssignments
ssignment ssignment for Lesson.7 Name Date Playing Darts reas of Parts of Circles In circle C shown below, BC is equilateral, C = inches, and m CB is 60º. Use the figure to complete Questions 1 through 3. in. C B 1. Find the area of the sector CB. Use complete sentences in your answer. 2. The height of BC is about 8.66 inches. Find the area of BC. Use complete sentences in your answer. 3. What is the shaded region called? Find the area of the shaded region. Use complete sentences in your answer. In circle shown below, the radius is 18 centimeters, BC is equilateral, and m BC is 60. Use the figure to complete Questions 4 and 5. B 18 cm 60 C 4. Find the area of the sector of the circle determined by radii B and C. Chapter ssignments 143
5. Find the area of the segment of the circle bounded by chord BC. In circle shown below, the radius is 22 centimeters and m RT is 90. Use the figure to complete Questions 6 and 7. R 22 cm T 6. Find the area of the sector of the circle determined by radii R and T. 7. Find the area of the segment of the circle bounded by chord RT. 144 Chapter ssignments