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Circumference to Diameter Calculator

Find a circle's diameter from its circumference (or from its radius or area).

Change the values and press Calculate to work out your own figures.

Enter any one of the radius, diameter, circumference or area.

About radius (r)From the centre to the edge.
About diameter (d)Across the centre.
About circumference (c)The distance around.
About area (a)In square units.
About unitThe unit of every measurement; the answer is then also given in other units.
Result
Diameter of the circle
3.183098862 in
Radius
1.591549431 in
Area
7.957747155 in²

The diameter of the circle is 3.183098862 in.

Show the working
  1. r = C ÷ 2π
  2. d = 2r, C = 2πr, A = πr²
  3. Diameter = 3.183098862 in

How to use it

Enter any one of the radius, diameter, circumference or area.

Enter the measurements (decimals, fractions such as 3/4, or mixed numbers such as 1 1/2) and, if you like, their unit; the answer is then also given in other units. Show the working gives the formula.

Key facts

d = C ÷ π

Measuring a tree or pipe

Wrap a tape around it and divide by π: a 100 cm girth is a diameter of 31.83 cm.

Questions

What diameter has a circumference of 10?

10 ÷ π ≈ 3.183098862.

Why divide by π?

Because C = π d.

Formulas

d = C ÷ π

Sources

Limitations

  • All measurements in one calculation use the same unit; the answer is also given in other units.
  • Measurements up to 10¹⁵.

Formula version 0.1.0Reviewed