# Trigonometric word problem [Solved!]

**Rapelang** 25 Dec 2015, 04:43

### 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

**Newton** 25 Dec 2015, 18:36

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

**Murray** 16 Jan 2016, 21:32

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

**nayabT** 03 Apr 2016, 03:48

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

**nayabT** 03 Apr 2016, 04:01

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

**Murray** 03 Apr 2016, 05:14

nayabT

Sorry, but neither of your answers is correct.

You are encouraged to:

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

b) Show reasons for your answer

X

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

## Re: Trigonometric word problem

**Murray** 28 Nov 2016, 04:14

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

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.
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.

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