SOLUTION: supposed it is desired to have a horse tied at a stake by a rope, graze over 80m². how long must the rope be?

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Question 1196081: supposed it is desired to have a horse tied at a stake by a rope, graze over 80m². how long must the rope be?
Found 2 solutions by josgarithmetic, ikleyn:
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
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graze over 80m².
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WHAT?

If horse is tied to a stake using rope of x meters long, then the horse is allowed to graze upon an area of pi%2Ax%5E2=80 square meters. You can solve for x.

Answer by ikleyn(52781) About Me  (Show Source):
You can put this solution on YOUR website!
.

They want you find the radius of a circle r from inequality

    pi%2Ar%5E2 >= 80 m^2.


The radius should be

    r >= sqrt%2880%2Fpi%29 = sqrt%2880%2F3.14%29 = use your calculator = 5.05 m (rounded to the closest centimeter).


ANSWER.  The rope should be at least sqrt%2880%2Fpi%29 = sqrt%2880%2F3.14%29 = 5.05 m long (rounded).

Solved, answered and explained.