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Thu 11 Aug, 2005 02:59 pm
A wildlife preserve is laid out in the shape of a perfect circle, whose radius is 14 miles. The lions' territory in this preserve is shaped like a wedge and has a fence around it. Two inner sides of a fence meet at a 90-degree angle in the center of the preserve. How much territory do the lions have?
I am seeking only the steps and formulas needed to solve this problem.
1) Draw a picture of what the problem is saying
2) Figure out the area of the circle
3) Figure out what fraction of the circle is for the lion
4) Multiple the fraction by the area.
If the two interior fences meet at a ninety degree angle, then the lion territory is exactly one quarter of the entire area.
Therefore:
14 x 14 x 3.1416
. . . . 4
The radius (14 miles) squared, times pi equals the area of the circle, divided by four.
OK, OK, i dug out the caluculator . . . 153.9 square miles . . . and that's the last time i'm going to do your homework for you . . .
ok
I totally get it. Thank you for the hints.
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