Applications of Arc Length and Area of a



























- Slides: 27
Applications of Arc Length and Area of a Sector Real world Examples
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?
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?
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?
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?
Perimeter A. ) Arc Length B. ) Sector
Circumference A. ) Arc Length B. ) Sector
Area A. ) Arc Length B. ) Sector
2πr A. ) Arc Length B. ) Sector
πr² A. ) Arc Length B. ) Sector
How many feet does the wheel travel when is makes 150 revolutions? A. ) Circumference B. ) Area
How many miles a plane flies A. ) Arc Length B. ) Sector
Area of a piece of pizza A. ) Arc Length B. ) Sector
Find the area of a clock from 12 PM to 3 PM A. ) Arc Length B. ) Sector
The amount of chain needed for a bicycle A. ) Arc Length B. ) Sector
The amount of area covered by a water sprinkler A. ) Arc Length B. ) Sector
The path a dog walks while on a leash A. ) Arc Length B. ) Sector
A. ) Arc Length B. ) Sector
Equation: A. ) Arc Length B. ) Sector
I-respond Test Practice arc length, sectors
Given circle A, what is the approximate length of arc BD? A. ) 55 mm B. ) 11 mm C. ) 6. 1 mm D. ) 4. 9 mm
Find the distance traveled in one back -and-forth swing by the weight of a 12 -inch pendulum that swings through a 75º angle. A. ) 75 in. B. ) 5 in. C. ) 94. 2 in. D. ) 31. 4 in.
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? A. ) 26 ft² B. ) 63 ft² C. ) 196 ft² D. ) 785 ft²
Open Notes Quiz on AREA & SECTORS Work on Study Guide when you are done (Test Wednesday)