A pony ride at a carnival gives the children rides in a circular pattern. The pony can only walk 500 feet before it needs to drink some water or it will become very ill. The radius of the circle is 15 feet. Use $/footnotesize{/pi}$ = 3.14 and approximate answers to one decimal place. a. How many feet does the pony walk in one ride around the circle? b. How many times can the pony give a ride before it needs a drink? You want to cover the rectangular area outside the circle in grass. The rectangle area is 45 feet long and 30 feet wide. c. What is the area of the rectangle? d. What is the area of the circular ride? e. What is the area needed for grass?

Question

Mathematics

Kamari Blake

11 December, 08:16

A pony ride at a carnival gives the children rides in a circular pattern. The pony can only walk 500 feet before it needs to drink some water or it will become very ill. The radius of the circle is 15 feet. Use $/footnotesize{/pi}$ = 3.14 and approximate answers to one decimal place. a. How many feet does the pony walk in one ride around the circle? b. How many times can the pony give a ride before it needs a drink? You want to cover the rectangular area outside the circle in grass. The rectangle area is 45 feet long and 30 feet wide. c. What is the area of the rectangle? d. What is the area of the circular ride? e. What is the area needed for grass?

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Steve Oneal · Answer 1

circumference of the circle = 2 x PI x R

a. 2 x 3.14 x 15 feet = 94.2 feet

b. 500/94.2 = 5.3 rides

c. 45 x 30 = 1350 square feet

d. = 3.14x 15^2 = 706.5 square feet

e. 1350-706.5 = 643.5 square feet