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.

Reply

You need to be logged in to reply.

Related Analytic Trigonometry questions

Re: 3-D Earth Geometry[Solved!] Sooty
I'm really sorry - your question got buried in my crazy inbox and I only...Murray 13 Sep 2019, 04:48

Factoring trig equations[Solved!] In solving "4\ sin^3x + 2\ sin^2 x - 2 sin x - 1 =...phinah 15 Jul 2018, 04:44

inverse functions[Solved!] I have the problem sec(arccos 5) and I understand that sec is the reciprocal of...ShayT 02 Feb 2017, 07:30