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Any mathematicians out there??

(59 Posts)
Katek Mon 17-Mar-25 10:28:40

My brother and I were chatting yesterday and the following came up in our conversation. Neither of us could remember formula so short of drawing it on graph paper and counting each little square we're stumped.

A farmer's cow is tied to a rope staked on the edge of a circular field of grass. He wants the cow to eat exactly half the grass in the field. What is the equation that computes the length of the rope (x) so that the cow eats exactly half grass?

My grey cells are a bit sluggish - it is a Monday morning! Anybody more alert?grin

Allira Tue 18-Mar-25 21:40:37

Nibbles44

Goats can jump & climb & chew through ropes, so it must be a chain! Why would anyone have a circular field in the first place, or want it to eat only half the grass, or why they would want a crescent of grass left? Can't I simply move the stake to the middle of the circle & make the length of rope half the radius?

Has the cow metamorphosed into a goat?

Perhaps there was something in the grass. ๐Ÿ„๐Ÿ

Katek Tue 18-Mar-25 22:11:52

Oh that kind of grass.........

Allira Tue 18-Mar-25 22:13:51

Katek

Oh that kind of grass.........

wink๐Ÿ˜‚

Luckygirl3 Tue 18-Mar-25 22:16:31

NOW I remember why I hated maths at school! All so blooming pointless.

Just put a fence across to confine the cow to half the field!

AN41 Tue 18-Mar-25 22:22:17

Build a straight fence across the middle and let the poor cow loose, else it'll have starved to death by the time we lot figure it out. ๐Ÿ˜‰

Allira Tue 18-Mar-25 22:41:25

Luckygirl3

NOW I remember why I hated maths at school! All so blooming pointless.

Just put a fence across to confine the cow to half the field!

Well, it's not pointless because we use Maths in some form or other every day.
However, perhaps some Maths is more relevant and useful than other Maths.
As I don't have a cow, this is not really elevant to me! ๐Ÿ˜‚

Allira Tue 18-Mar-25 22:42:34

AN41

Build a straight fence across the middle and let the poor cow loose, else it'll have starved to death by the time we lot figure it out. ๐Ÿ˜‰

It's ok, it's been rustled while we were trying to work it out.

jocork Wed 19-Mar-25 04:02:08

I considered asking my son, who lectures in mathematics at a university. However I don't expect I would understand his explanation, assuming he could answer, so I haven't bothered. When he was completing his PhD he sent me his thesis to read. Sadly the only bit that made sense to me was the acknowledgements! I know my limitations!