Circumference to Diameter Calculator

Convert a known circumference back to diameter using the formula d = C / pi. This reverse calculation is useful when you can measure around a circular object (like wrapping a tape measure around a tree, pipe, or column) but need to know how wide it is across the center.

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Formula

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Core Formula
d=Cπd = \frac{C}{\pi}

How it works: Divide the circumference (the total distance around the circle) by pi (approximately 3.14159) to get the diameter, which is the straight-line distance across the circle through its center.

Worked Example

A tree trunk measures 31.4159 inches around. To find the diameter: d = 31.4159 / pi = 31.4159 / 3.14159 = 10 inches. The tree trunk is 10 inches wide at that height.

Frequently Asked Questions

When would I need to convert circumference to diameter?

This is common when you can wrap a tape measure around an object (tree trunk, pipe, column, barrel) but cannot measure across it directly. Dividing the circumference by pi gives the diameter.

Can I use decimal circumference values?

Yes. The calculator supports any positive decimal value, which is important for precise engineering and scientific measurements.

What if the circumference is zero?

A circumference of zero means the circle has no size, resulting in a diameter of zero. In practice, ensure you enter a positive measurement.

How do I find the radius from circumference?

First divide the circumference by pi to get the diameter, then divide the diameter by 2 to get the radius. The formula is r = C / (2 x pi).

Can I use this Circumference to Diameter Calculator on my own web page?

You can. Look for the "Embed" button near the top of this calculator. It lets you pick a size, border style, and color palette, then gives you an iframe tag to paste into any webpage. The widget is responsive, loads fast, and costs nothing. More details at calculory.com/services/embed-calculators.

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