squares iout of circles

[jim simmons]

I have a bunch of cut circles and would like o know how to calculate the maximum square in a given circle.
Any suggestions?
Thanks
The other Jim

[Barry Kaiser]

Back to basic geometry!
D squared divided by 2 equals S squared.

Where D is the diameter of the circle and S is the side of the maximum square.

[Tony Smith]

Jim,

Its 0.707 x diameter

So if you have a 10" diameter, 10" is the hypotenuse or long side of the square
Pythagorean theorem says the square of the hypotenuse of a right triangle equals the sum of the squares of the other sides so,
a^2 + b^2 = c^2
c=10, so 10 ^2 = 100
Since a square has equal sides, a = b so we can write the equation as
2 a^2 = 100
Dividing both sides by 2 we get
a^2 = 50
Take the square root of both sides giving you
a = sqrt 50 = 7.07
So for a 10" diameter, you can fit a 7.07" square. For any other diameter, you can just multiply 0.707 x diameter

I hope this helps

Tony

[Kevin Midgley]

.....and then after all those careful calculations there is the flow of the glass to consider.

[jim simmons]

Thanks you all, ESPECIALLY Tony.
The other Jim

[AndyT]

I just divide the circle in half both ways and then connect the ends of each line to the one next to it.

[jim simmons]

DUUUHHH,
Thanks, Andy
The other Jim