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Applications of Arc Length and Area of a Sector

Applications of Arc Length and Area of a Sector. Real world Examples.

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Applications of Arc Length and Area of a Sector

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  1. Applications of Arc Length and Area of a Sector Real world Examples

  2. Your sprinkler sprays water in a horizontal arc. You have set it to rotate 90°, and the radius of the spray zone is 25 feet. You want to buy enough fertilizer to cover the area. If each bag of fertilizer covers 50 square feet, how many bags will you need?

  3. You are riding a ferris wheel. You start at the bottom of the ride and make it half way around before the ride stops to load more passengers. If the radius of the wheel is 30 feet, what is the length of the arc you have traveled?

  4. You are riding a pony at the fair. You go around the circle 5 time before your ride is over. If the radius of the trail is 25 feet, what is the distance you have ridden the pony?

  5. Using a 9-inch pie plate, you bake a pie for your family. You cut the pie into 8 equal pieces to serve it. What is the area of each piece of pie?

  6. Arc Length versus Area of Sector

  7. Perimeter iRespond Question Multiple Choice F 329DBFE7-98BC-4845-B6AA-50175291A4E2 A.) Arc Length B.) Sector C.) D.) E.)

  8. Circumference iRespond Question Multiple Choice F A9E7F78E-422E-A141-8AB4-166B76385DB8 A.) Arc Length B.) Sector C.) D.) E.)

  9. Area iRespond Question Multiple Choice F 417FCAC7-435A-2549-B0ED-99F4C1C0B495 A.) Arc Length B.) Sector C.) D.) E.)

  10. 2πr iRespond Question Multiple Choice F A9E7F78E-422E-A141-8AB4-166B76385DB8 A.) Arc Length B.) Sector C.) D.) E.)

  11. πr² iRespond Question Multiple Choice F 417FCAC7-435A-2549-B0ED-99F4C1C0B495 A.) Arc Length B.) Sector C.) D.) E.)

  12. How many feet does the does the wheel travel when is makes 150 revolutions? iRespond Question Multiple Choice F F17E7975-F544-744A-A75C-6BE0DD7F6D7E A.) Circumference B.) Area C.) D.) E.)

  13. How many miles a plane flies iRespond Question Multiple Choice F F0B87FE8-3558-7442-8B30-BB43CEF192B9 A.) Arc Length B.) Sector C.) D.) E.)

  14. Area of a piece of pizza iRespond Question Multiple Choice F 7D72326E-8923-0740-99BE-267BB4DD9AF2 A.) Arc Length B.) Sector C.) D.) E.)

  15. Find the area of a clock from 12 PM to 3 PM iRespond Question Multiple Choice F 1355E7A0-2AE9-5E4E-9DDC-844AB718BF62 A.) Arc Length B.) Sector C.) D.) E.)

  16. The amount of chain needed for a bicycle iRespond Question Multiple Choice F 3E0A0E82-AAD6-084B-94E1-EB3D47CD3FFD A.) Arc Length B.) Sector C.) D.) E.)

  17. The amount of area covered by a water sprinkler iRespond Question Multiple Choice F 9DD75ABC-0E0D-CD4D-99CB-C7906B3CEDB5 A.) Arc Length B.) Sector C.) D.) E.)

  18. The path a dog walks while on a leash iRespond Question Multiple Choice F C1B3FCAA-6901-744F-8563-6D481932DCB0 A.) Arc Length B.) Sector C.) D.) E.)

  19. Equation: iRespond Question Multiple Choice F AF53FB5F-1A32-244A-A53E-36713E649316 A.) Arc Length B.) Sector C.) D.) E.)

  20. Equation: iRespond Question Multiple Choice F AF53FB5F-1A32-244A-A53E-36713E649316 A.) Arc Length B.) Sector C.) D.) E.)

  21. I-respond Test Practice arc length, sectors

  22. Given circle A, what is the approximate length of arc BD? iRespond Question Multiple Choice F 5B5EB44C-5C74-4049-9B09-601F98D749D5 A.) 55 mm B.) 11 mm C.) 6.1 mm D.) 4.9 mm E.)

  23. Find the distance traveled in one back-and-forth swing by the weight of a 12-inch pendulum that swings through a 75º angle. iRespond Question Multiple Choice F 53CC6D04-FB5E-2A48-9D37-98997040BE65 A.) 75 in. B.) 5 in. C.) 94.2 in. D.) 31.4 in. E.)

  24. Find the length of arc MN. iRespond Question Multiple Choice F 64481991-B946-5542-8403-62B6FCC62021 A.) 1.5 𝜋 𝑦𝑑 B.) 3 𝜋 𝑦𝑑 C.) 10 𝜋 𝑦𝑑 D.) 20 𝜋 𝑦𝑑 E.)

  25. What is the area of the shaded sector? iRespond Question Multiple Choice F C5E26A7B-2535-7647-BCBF-08AB2CCD2393 A.) 15 𝜋 𝑦𝑑 2 B.) 25 𝜋 𝑦𝑑 2 C.) 47 𝜋 𝑦𝑑 2 D.) 85𝜋 𝑦𝑑 2 E.)

  26. The sprinkler system shown below has a spray of 15 feet and is set to rotate 100º. What is the approximate area of grass that will be watered by the sprinkler? iRespond Question Multiple Choice F 81751F3E-58CD-2D47-BAF7-DB28AE24C6A2 A.) 26 ft² B.) 63 ft² C.) 196 ft² D.) 785 ft² E.)

  27. Open Notes Quiz on AREA & SECTORS Work on Study Guide when you are done (Test Wednesday)

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