Squaring the Circle
Calculator and formulas for calculating the squaring of the circle
This calculator calculates the side length and perimeter of a square to the radius and perimeter of a circle, both of which have the same area. The squaring of the circle cannot be calculated geometrically exactly, since the value of the number π (pi) can never be given exactly, but is always rounded.
To calculate, enter one of the parameters, then click on the 'Calculate' button. All parameters have the same unit of measure, the area has the same unit squared.
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Formulas for Squaring the Circle
Ratio a / r
\(\displaystyle a ≈ \sqrt{π} · r\)
Radius
\(\displaystyle r = \sqrt{\frac{A}{ π}}\)
Area of the circle
\(\displaystyle A =r^2 · π\)
Circumference
\(\displaystyle P = 2 · r · π\)
Side length
\(\displaystyle a = \sqrt{A}\)
Area of the square
\(\displaystyle A =a^2 \)
Square perimeter
\(\displaystyle P = 4 · a \)
Angle functions
From Deg, Min, Sec to Decimal • From Degree to Percent • Angle sum • Side lengths from anglesCircular functions
Annulus • Annulus sector • Circle • Circular angles • Circular arcs • Circular sector • Circular segment • Ellipse • Parabolic arch • Squaring the Circle
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