Trigonometric word problem [Solved!]

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Imagine a circle with green grass inside,assume there is no grass outside the circle. The sheep is fastened on the circumference such that it will only consume half of the grass in the circle. Find the expression for the length of the rope that will be used to fasten the sheep.

Relevant page

<a href="/analytic-trigonometry/5-trigonometric-equations.php">5. Trigonometric Equations</a>

What I've done so far

I know `C=2 pi r` and Area `=pi r^2`

But they haven't told me the radius and I'm not sure where to start.

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Hi again, Rapelang

This discussion will give you some background:

<a href="http://mathforum.org/library/drmath/view/54785.html">Math Forum - Ask Dr. Math</a>

Good luck with it.

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Rapelang seems to have disappeared. Would anyone else like to have a go at solving it?

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I think if we simply divide the circumference of a circle with 2.We will be able to get the required expression i.e
Pi.r

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If a sheep is tied to the boundary and it eats half the area then the length of the required rope would be (pi..r^2)\2
That's how far I can understand this....(r being unknown)

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nayabT

Sorry, but neither of your answers is correct.

You are encouraged to:

a) Use the math entry system: <a href="http://www.intmath.com/forum/entering-math-graphs-images-41/how-to-enter-math:91">How to enter math</a>


b) Show reasons for your answer

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@Rapelang: I put your question as a puzzle for the IntMath Newsletter readers to ponder over.

There was <a href="http://www.intmath.com/blog/letters/intmath-newsletter-angular-velocity-face-numbers-wiris-11041#comment-844771">one correct answer by Gerard Grufferty</a>.

Regards.