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Home/ Questions/Q 6613757
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Editorial Team
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Editorial Team
Asked: May 25, 20262026-05-25T20:15:23+00:00 2026-05-25T20:15:23+00:00

I want to draw a square inside a circle. My circle has a radius

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I want to draw a square inside a circle. My circle has a radius of between 0.5 and 3.

is it safe to assume my square will always be 0.66 * 2 * radius wide/high?

I am making a function to calculate if a certain point is within the circle. I already made a square to get my points out of the database.
I want to make the square within the circle to quickly determine if a point is definately within my circle

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  1. Editorial Team
    Editorial Team
    2026-05-25T20:15:24+00:00Added an answer on May 25, 2026 at 8:15 pm

    The length of the diagonal of the square corresponds to two times the radius of the circle, i.e.

    d = 2 * r
    

    At the same time it is

    d = sqrt(2) * a
    

    where a is the length of one side of your square.

    Thus

    a = r * 2 / sqrt(2) = r * sqrt(2)
    

    which is approximately

    a = r * 1.41421
    
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