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Circumference (C):
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About

This tool determines the total boundary length of a circle based on its radius. Speed and precision are the priorities here. Unlike standard calculators, this tool utilizes a high-precision storage of Pi (π) to prevent rounding errors in large-scale engineering projects, such as tank construction or track layout. Users can adjust the decimal precision of the output to suit their reporting standards, from rough estimates to microscopic tolerances.

circumference circle calculator radius to circumference pi calculator geometry tool

Formulas

The circumference is linearly proportional to the radius.

C = 2 × π × r

Reference Data

ParameterValue/FormulaNotes
FormulaC = 2πrStandard Euclidean geometry
Pi (π)3.1415926535...Irrational constant
Radius (r)d / 2Distance from center to edge
Area RelationA = Cr / 2Alternative area derivation

Frequently Asked Questions

We use JavaScript's Math.PI, which provides approximately 15 digits of precision (3.141592653589793), sufficient for almost any physical calculation.
You must first solve for the radius: r = square root of (Area / Pi), then use that radius here.
No. If you input meters, the output is meters. If you input pixels, the output is pixels.