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8. The radius of a circle is 5.00 m. Find the diameter of another circle containing 4 times the area of the first.

8. The radius of a circle is 5.00 m. Find the diameter of another circle containing 4 times the area of the first.

Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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11:04 PM Wed Sep 21 = 194 Σ A square circumscribed about a circle A square inscribed in a circle FIGURE 6-72 48.0 cm 4.12 FIGURE 6-73 52.0 cm FIGURE 6-76 3.16 : Chapter 6 Geometry How much larger is the side of a square circumscribing a circle 155 cm in diameter than a square inscribed in the same circle, Fig. 6–72? 8. The radius of a circle is 5.00 m. Find the diameter of another circle containing 4 times the area of the first. 9. Find the distance x in Fig. 6-73. 10. In Fig. 6-74, distance OP is 8.65 units. Find the distance PQ. 11. Figure 6-75 shows a semicircle with a diameter of 105. Find distance PQ. Applications 12. In a park is a circular fountain whose basin is 22.5 m in circumference. What is the diameter of the basin? 13. The area of the bottom of a circular pan is 196 in.². What is its diameter? 14. Find the diameter of a circular solar pond that has an area of 125 m². 15. What is the circumference of a circular lake 33.0 m in diameter? 16. The distance around a circular park is 2.50 mi. How many acres does it contain? (1 sq. mi = 640 acres) 17. A woodcutter uses a tape measure and finds the circumference of a tree to be 95.0 in. Assuming the tree cross-section to be circular, what length of chain- saw bar is needed to fell the tree? (By cutting from both sides, one can fell a tree whose diameter is twice the length of the chain-saw bar.) 18. What must be the diameter d of a cylindrical piston so that a pressure of 125 lb/in.² on its circular end will result in a total force of 3610 lb? Hint: The f a surface is equal to the area of that surface times the pressure on that surface. 6.35 diameter QAA 19. Find the length of belt needed to connect the three 15.0-cm-diameter pulleys in Fig. 6-76. Hint: The total curved portion of the belt is equal to the circum- ference of one pulley. FIGURE 6-74 FIGURE 6-77 60° Q 1 D 95.0 FIGURE 6-75 T= 1.500 in. 0.1000 in. diameter FIGURE 6-78 Measuring a screw thread "over wires." 194/1040 R 91%
Transcribed Image Text:11:04 PM Wed Sep 21 = 194 Σ A square circumscribed about a circle A square inscribed in a circle FIGURE 6-72 48.0 cm 4.12 FIGURE 6-73 52.0 cm FIGURE 6-76 3.16 : Chapter 6 Geometry How much larger is the side of a square circumscribing a circle 155 cm in diameter than a square inscribed in the same circle, Fig. 6–72? 8. The radius of a circle is 5.00 m. Find the diameter of another circle containing 4 times the area of the first. 9. Find the distance x in Fig. 6-73. 10. In Fig. 6-74, distance OP is 8.65 units. Find the distance PQ. 11. Figure 6-75 shows a semicircle with a diameter of 105. Find distance PQ. Applications 12. In a park is a circular fountain whose basin is 22.5 m in circumference. What is the diameter of the basin? 13. The area of the bottom of a circular pan is 196 in.². What is its diameter? 14. Find the diameter of a circular solar pond that has an area of 125 m². 15. What is the circumference of a circular lake 33.0 m in diameter? 16. The distance around a circular park is 2.50 mi. How many acres does it contain? (1 sq. mi = 640 acres) 17. A woodcutter uses a tape measure and finds the circumference of a tree to be 95.0 in. Assuming the tree cross-section to be circular, what length of chain- saw bar is needed to fell the tree? (By cutting from both sides, one can fell a tree whose diameter is twice the length of the chain-saw bar.) 18. What must be the diameter d of a cylindrical piston so that a pressure of 125 lb/in.² on its circular end will result in a total force of 3610 lb? Hint: The f a surface is equal to the area of that surface times the pressure on that surface. 6.35 diameter QAA 19. Find the length of belt needed to connect the three 15.0-cm-diameter pulleys in Fig. 6-76. Hint: The total curved portion of the belt is equal to the circum- ference of one pulley. FIGURE 6-74 FIGURE 6-77 60° Q 1 D 95.0 FIGURE 6-75 T= 1.500 in. 0.1000 in. diameter FIGURE 6-78 Measuring a screw thread "over wires." 194/1040 R 91%
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