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# Trigonometric word problem [Solved!]

### My question

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

5. Trigonometric Equations

### 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.

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.

## Re: Trigonometric word problem

Hi again, Rapelang

This discussion will give you some background:

Math Forum - Ask Dr. Math

Good luck with it.

X

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.

## Re: Trigonometric word problem

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

X

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

## Re: Trigonometric word problem

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

X

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

## Re: Trigonometric word problem

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)

## Re: Trigonometric word problem

nayabT

You are encouraged to:

a) Use the math entry system: How to enter math

X

nayabT

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

## Re: Trigonometric word problem

There was one correct answer by Gerard Grufferty.

Regards.

X

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

Regards.