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Yes, of course. There are lots of these. pi ~= sqrt(g). Common trick to make period of pendulum approx = 2*sqrt(l) which is easy to calculate.

But this one isn’t a coinicidence - the idea of having the unit of length be the length of a seconds pendulum predates the meter we have. (It doesn’t work because the period of a pendulum depends on your latitude.)
You're kidding me! That's a fact I had no idea about. I thought I was damned clever for having figured out the thing as a child and then found out all the other kids knew it too. I never thought to check the origin. Made my day. Thank you.
There was an HN post about the pi^2=g connection not too long ago.
It’s come up several times.

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