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.

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

X

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.

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.

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)

X

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)

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

@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.