Question

how do you draw a biggest square inside a circle

Answer 1

We can draw the biggest square inside a circle by
Taking 4 biggest radii perpendicular to each other those could be touch the circle so that all 4 chords corresponding to the radii be equal.



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Answer 2

Answer:

The maximum square that fits into a circle is the square whose diagonal is also the circle's diameter. The length of a square's diagonal, thanks to Pythagoras, is the side's length multiplied by the square root of two. Set this equal to the circle's diameter and you have the mathematical relationship you need.

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