Any mathematicians out there??

I remember this from school. The maths teacher concluded it was a problem for advanced mathematics and not something we could solve at school. I suspected then, as I do now, that he hadn’t the skills to solve it!

Now I have finished my coffee, I can see that my equation only gives you an area covered by a circle nearest the post which is clearly not as big as the area of the rest of the round field outside that circle.

I give up.

I'll send this puzzle to MY brother. He doesn't have enough to keep his brain exercised since he retired.

No, I forgot to substitute the length of the rope (L) for (R) into the standard equation for finding the area of the circle.

Should be B = the square root of ( ( 3.14 x L ) divided by 2)
Or maybe not.

Life’s too short!

I am not a mathematician, and would build a wall across the circle, going through the exact centre, and confine the cow in one half. However, the logic of the question goes something like this:-

The length of the rope (L) is the radius of the circle.
The area (A) of a circle is Pi R squared.
So half the area (B) of the circle is Pi R squared divided by 2.
What you need to find is B.

B = the square root of ( ( 3.14 x R ) divided by 2)

But maybe not.

Sorry, way beyond me! Hope someone solves this for you - there are some very clever people on GN !