Question:

In maths, how can you work out how to fit a square inside a circle?

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i need the equation, thanks in advance :)

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5 ANSWERS


  1. The length of each side of the square will be:  square root(2) multiplied by radius of circle

    s = √(2)*r

    or about 1.414*r


  2. Diagonal of the square = diameter of circle

    Diagonal of square = sqrt2*side of the square

    side of square s to fit in a circle of diamater d

    Formula:

    s = d/sqrt2

  3. Just make a square that has the diagonal equal to the diameter of the circle.

  4. The diagonal of the square is equal to the diameter of the circle.  Since it is a square (and not a rectangle) the sides of the square will be equal to the diameter ÷ √2.

  5. Actually the diagonal of the square has to be equal or less than the diameter of the circle, as many different smaller squares will also fit inside the circle.

    .

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