Math

Circumference to Diameter Calculator

Find a circle's diameter and radius from its circumference.


Circumference to Diameter Calculator

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Sometimes you can measure the distance around a circular object with a tape measure but need the diameter — this solves that reverse-lookup question.

How it works

Dividing the circumference by pi gives the diameter; halving the diameter gives the radius.

What this does not include

This does not include measurement error correction — a tape measure wrapped around an imperfectly circular object introduces some inaccuracy that this calculator can’t detect or adjust for.

How to use this calculator

  1. Enter the measured circumference.

A worked example

A circumference of 31.4159: diameter = circumference ÷ π = 10.

What the variables mean

Variable Meaning
Circumference Distance around the circle
Diameter Distance across the circle through its center

Edge cases worth knowing

This is the direct reverse of the standard circumference formula (C = πd) — dividing by π instead of multiplying by it.

A circumference of zero makes the diameter zero too, a degenerate but valid case the calculator declines to show since there’s no real circle to describe.

Frequently asked questions

Why measure circumference instead of diameter directly?

For many round objects (a tree trunk, a pipe, a round table), wrapping a tape measure around the outside is much easier and more accurate than trying to measure straight across the middle.

How is this different from the site’s circumference calculator?

That one goes the other direction — starting from radius or diameter to find circumference; this one starts from circumference to find diameter and radius instead.

Does the unit of measurement matter?

No — the result comes out in the same unit as whatever circumference you entered, whether inches, centimeters, or feet.

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Written by

J. Adeyemi

Statistics writer

J. Adeyemi writes the statistics and probability calculators, from descriptive summaries through to distributions and conditional probability. The recurring theme is scope: each page states precisely which question it answers, because most statistical mistakes come from applying a correct formula to the wrong question. Related-but-different measures get separate pages rather than being quietly merged.

Reviewed by

T. Okafor

Calculator reviewer — mathematics

T. Okafor reviews the mathematics calculators, verifying algebraic correctness and, just as importantly, behaviour at the edges — division by zero, undefined results, and the floating-point cases where a formula technically returns a number that should be reported as undefined. Every test case is recomputed independently rather than taken on trust.

How we write and review

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