Circumference Calculator

Quickly calculate the circumference of any circle using its radius. Our tool also provides the diameter and area for a complete geometric overview.

Enter the radius of the circle (e.g., 5, 12.5)

How it works

Quickly calculate the circumference of any circle using its radius. Our tool also provides the diameter and area for a complete geometric overview.


The Formula
Circumference (C) = 2πr
Diameter (d) = 2r
Area (A) = πr²

Worked Example
  1. Example: Calculate Circumference for a Radius of 5 cm

    If a circle has a radius (r) of 5 cm, its circumference (C) is calculated as C = 2 * π * 5 = 10π ≈ 31.4159 cm. The diameter would be 10 cm, and the area would be 25π ≈ 78.5398 cm².


Tips, Assumptions & Limitations
  • Remember that π (Pi) is approximately 3.14159.
  • If you have the diameter, simply divide it by 2 to get the radius before using the calculator.
  • The circumference is the distance around the circle, much like the perimeter of other shapes.
FAQ

The circumference of a circle is the total distance around its outer edge. It's similar to the perimeter of a polygon, but for a circular shape.

To calculate the circumference (C) using the radius (r), you use the formula C = 2πr, where π (Pi) is a mathematical constant approximately equal to 3.14159.

If you have the diameter (d) instead of the radius, you can use the formula C = πd. Remember that the diameter is simply twice the radius (d = 2r).

Pi (π) is a fundamental mathematical constant representing the ratio of a circle's circumference to its diameter. It's an irrational number, meaning its decimal representation goes on forever without repeating, commonly approximated as 3.14159.

Companion article

Circumference Calculator: Find the Distance Around a Circle

Related Calculators
About UsFAQsTerms and ConditionsPrivacy PolicySitemap
EmailLinkedInFacebook

© 2026 PromathTools. All rights reserved.

Built by KruskalCode – SaaS & Automation Experts