The owner of a carousel wants to paint the surface of its floor. The paint is very expensive, so he only wants to buy the exact amount needed. He sends his younger son to measure the the surface area of the carrousel. When the son gets there, he realizes that he cannot measure the exact diameter, because all of the machinery is in the middle of the hole. So, he takes a measurement and leaves. When he arrives home, he tells his father that he measured 70 feet from one outer edge to the the other side, and the tape measure touched the opening in the center.
His father was furious! How could he be so incompetent?! But his older son soon spoke up: "I know the area of the floor of the carrousel." His father was amazed.
What is the area of the floor of the carrousel? There is enough information to solve this problem. Here's a picture of the solution:
http://mathforum.org/pcmi/hstp/resources/papercup/cup2.revised.gif
The length between points A and B is 70 feet. Good luck!
2006-11-22
09:42:21
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6 answers
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asked by
Dave
6
in
Mathematics