SOLUTION: . A farmer wants to enclose a circular pen with a square fence, as shown below. If the circumference of the circular pen is about 35 feet, which of the following is the best

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Question 552723: . A farmer wants to enclose a circular pen with a square fence, as shown below.

If the circumference of the circular pen is about 35 feet, which of the following is the best estimate for the amount of fencing needed?
Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
I don't see your diagram but assuming that the sides of the square enclosure will be tangent to (just touching) the circumference of the circular pen, then the diameter of the circle will be exactly equal to the length of the side of the square.
So you will need to find the diameter (D) of the circular pen whose circumference (C) is given as 35 feet.
C+=+pi%2AD or
D+=+C%2Fpi Use pi+=+3.14 as an approximation.
D+=+11.1465
So the length of one side of the square would be 11.1465 feet.
The amount of fencing needed would be equal to the perimeter of the square or four times the length of one side.
4%2A11.1465+=+44.586feet.
Since you did not include a list of possible estimates, you can choose the correct answer yourself.