SOLUTION: 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
Algebra ->
Circles
-> SOLUTION: 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
Log On
Question 1046018: 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 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?
You can put this solution on YOUR website! One ride around the circle is 2*pi*r=30*pi feet, or 94.2 feet.
94.2*x<500. Divide both sides by 94.2 and x< 500/94.2=5.30, so 5 rides, because 6 will be too many.
The area of the rectangle is l*w=45*30=1350 sq ft.
The area of the circle is pi*r^2 or 225 pi, since r=15. 225*pi=706.5 sq ft
The area of the grass is the area of the rectangle minus the area of the circle or 643.5 sq ft
