SOLUTION: Mr. Ammon is building a circular corral for training colts. He has 73.79 meter fencing. What is the diameter of the corral? What is the total area of the corral? If he leads a colt

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Question 1112649: Mr. Ammon is building a circular corral for training colts. He has 73.79 meter fencing. What is the diameter of the corral? What is the total area of the corral? If he leads a colt by holding a rope at the center of the ring, while the colt runs along the perimeter, what is the length of rope he would use?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +r+ = radius of the circle
Let +C+ = circumference
Let +A+ = area of the circle
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+C+=+2%2Api%2Ar+
You are given +C+=+73.79+ m
+73.79+=+pi%2A%28+2r+%29+
+2r+=+73.79%2Fpi+
+2r+=+73.79%2F3.141+
+2r+=+23.493+ m
This is the diameter ( twice the radius )
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+A+=+pi%2Ar%5E2+
+A+=+pi%2A%28+23.493%2F2%29%5E2+
+A+=+3.141%2A11.746%5E2+
+A+=+3.141%2A137.97+
+A+=+433.46+ m2
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The length of the rope is the radis,
+11.746+ m