XRISS ractice and roblem Solving or more practice, see xtra ractice. ractice by xample xample (page 386) xample 2 (page 387) Trash The graph shows types of trash in a typical merican city. ind the measure of each central angle to the nearest whole number.. Glass 2. Metals 3. lastics 4. Wood 5. ood Waste 6. Yard Waste 7. ther 8. aper and aperboard Identify the following in. 9. a minor arc. a major arc Yard Waste 2% ood Waste % Wood 5% lastics %. a semicircle 2. a pair of adjacent arcs 3. an acute central angle 4. a pair of congruent angles ther % Metals 8% aper and aperboard 38% D Glass 6% SUR: nvironmental rotection gency, 2. Go to www.hschool.com for a data update. Web ode: afg-24 xample 3 (page 388) ind the measure of each arc in. 5. T 6. TD 7. T 8. T 9. D 2. D 2. TD 22. D 23. TD 24. T 25. 26. D T 28 D xample 4 (page 388) ind the circumference of each circle. Leave your answer in terms of π. 27. 28. 29. 3 ft 2 cm 4.2 m 3. 3. 32. 4 in. m 2 29 cm 33. The wheel of an adult s bicycle has diameter 26 in. The wheel of a child s bicycle has diameter 8 in. To the nearest inch, how much farther does the larger bicycle wheel travel in one revolution than the smaller bicycle wheel? Lesson 7-6 ircles and rcs 389-393
xample 5 (page 389) ind the length of each arc shown in red. Leave your answer in terms of p. 34. 35. 36. 4 cm 45 6 24 ft 8 m 37. 38. 39. 3 36 in. 23 m 9 m 25 pply Your Skills 4. Use a compass to draw and with different radii. Then use a protractor to draw XY on and ZW on so that m XY = m ZW. Is XY > ZW? 4. nvironment Use the data in the table to construct a circle graph. World arbon Dioxide missions from urning ossil uels 25 rojections United States astern urope and the former Soviet Union hina ther Industrialized ountries ther Developing ountries 24% 3% 3% 25% 26% SUR: nergy Information dmin., 2. Go to www.hschool.com for a data update. Web ode: afg-24 ind each indicated measure for. 42. m& 43. mjh 44. mh 45. m&g 46. mjg 47. mhj 48. pen-nded Make a circle graph showing how you spend a 24-hour weekday. G J H 7 Time Hands of a clock suggest an angle whose measure is continually changing. 49. Through how many degrees does a minute hand move in each time interval? a. minute b. 5 minutes c. 2 minutes 5. Through how many degrees does an hour hand move in each time interval? a. minute b. 5 minutes c. 2 minutes 5. What is the measure of the angle formed by the hands of a clock at 7:2? x 2 lgebra ind the value of each variable. 52. 53. (x + 4) Q c (4c ) R (3x + 2) (2x + 6) Q 389-393 hapter 7 rea
54. Traffi c ive streets come together at a traffic circle. Vehicles travel counterclockwise around the circle.. Use arc measure to give directions to someone who wants to get to ast Street from Neponset Street. The circumference of a circle is in. ind each of the following. 55. the diameter 56. the radius 57. the length of an arc of 28 Neponset St. Maple St. Main St. Rte. ast St. 4 Need Help? or xercise 58, draw and concentric. Draw 68 and 458 angles that share a side. To have equal arc lengths, which circle must be larger? Need Help? The Distance and Midpoint ormulas are on pages 43 and 45. 58. 68 arc of has the same length as a 458 arc of. ind the ratio of the radius of to the radius of. 59. Metalworking Nina designed an arch made of wrought iron for the top of a mall entrance. The segments between the two concentric semicircles are each 3 ft long. ind the total length of wrought iron used to make this structure. Round your answer to the nearest foot. 6. History In xercise 24 on page 2, you learned that in 22.., ratosthenes estimated the circumference of arth. He did so by finding that on a great circle of arth, an arc of approximately 5 mi has a central angle of 7.28. a. Use ratosthenes s measurements to estimate the circumference of arth. b. ompare your answer in part (a) to the actual circumference of arth (at the equator) of 24,92 mi. oordinate Geometry diameter of a circle has endpoints (, 3) and (4, 7). ind each of the following. 6. the coordinates of the center 62. the circumference ind the length of each arc shown in red. Leave your answer in terms of p. 63. 64. 5 65. 4. ft 2 ft 45 7.2 in. 6 m Lesson 7-6 ircles and rcs 389-393
Use what you learn from alvin s father to answer xercises 66 and 67. hallenge 66. In one revolution, how much farther does a point cm from the center of the record travel than a point 3 cm from the center? Round your answer to the nearest tenth. 67. Writing Kendra and her mother plan to ride the carousel. Two horses on the carousel are side by side. or a more exciting ride, should Kendra sit on the inside or the outside? xplain your reasoning. 68. In, the length of is 6p cm and m is 2. What is the diameter of? 69. oordinate Geometry ind the length of a semicircle with endpoints (3, 7) and (3, -). Round your answer to the nearest tenth. 7. The two circles shown below 7. ind the perimeter of the are concentric. shaded portion of the figure a. Name two arcs that have the below. Leave your answer in same measure. terms of p. xplain your b. ind the value of x. reasoning and state what assumptions you make. G x x D 7 4 in. 4 in. 72. Sports n athletic field is a rectangle, yd by 4 yd, with a semicircle at each of the short sides. running track yd wide surrounds the field. ind the perimeter of the outside of the running track to the nearest tenth of a yard. yd 4 yd yd 389-393 hapter 7 rea
Standardized Test rep Multiple hoice 73. The radius of a circle is 2 cm. What is the length of a 6 arc?. 3p cm. 4p cm. 5p cm D. 6p cm 74. 24 arc has length 6π ft. What is the radius of the circle?. 6 ft G. 2 ft H. 5 ft I. 24 ft Short Response Take It to the NT nline lesson quiz at www.hschool.com Web ode: afa-76 75. my is constructing a curved path through a rectangular yard. She will edge the two sides of the curved path with plastic edging. ind the total length, in meters, of plastic edging she will need. Show your work or explain how you found the total. 2 m 2 m Mixed Review Lesson 7-5 art of a regular 2-gon is shown at the right. 76. ind the measure of each numbered angle. 77. The radius is about 9.3 mm. ach side is mm. ind the apothem. 78. ind the area of the 2-gon to the nearest square millimeter. 2 a 3 r 4 Lesson 6-3 an you conclude that the figure is a parallelogram? xplain. 79. 8. 8. Lesson 3-6 Indicate whether each statement is always, sometimes, or never true. 82. Two nonvertical parallel lines have the same slope. 83. Two perpendicular lines have slopes that are reciprocals. 389-393 hapter 7 rea