Circumference Calculator — Radius, Diameter or Area
Enter a circle’s radius, diameter, circumference or area in cm or cm². Calculate the other measurements, including circumference to diameter.
Formula and sources updated · Data sources · 1View algorithm, constants and default inputs (JSON)
Circumference (cm)
About this calculator
Choose the measurement you know: radius, diameter, circumference or area. Lengths use centimetres and area uses square centimetres. For example, a circumference of 20 cm gives diameter 20/π ≈ 6.3662 cm. Use C = πd = 2πr and A = πr².
Worked example
calculated with the default values below
Measurement basis Radius · Known measurement 10 cm or cm² Circumference 62.8319 cm · Diameter 20.0000 cm · Area 314.1593 cm² · Radius 10.0000 cm
Method and assumptions
Formula basis and scope
C = 2πr = πd; radius is r, d/2, C/(2π) or sqrt(A/π), according to the selected known measurement.
Ideal Euclidean shapes; use consistent length units. A diameter is twice the radius.
Data sources
Disclaimer
These calculators give general mathematical results. They suit study, planning and estimation — verify anything that feeds a graded submission, a published figure or a financial commitment.
Implementation source
This record describes the implementation used by this page. It is not independent validation. External references, when available, support only the stated formula or definition; estimates and custom rules retain their own assumptions.
Formula and variables
C = 2πr = πd; A = πr²; r = d/2 = C/(2π) = √(A/π)
- C
- Circumference
- r
- Radius
- d
- Diameter
- A
- Area
Choose the measurement you know: radius, diameter, circumference or area. Lengths use centimetres and area uses square centimetres. For example, a circumference of 20 cm gives diameter 20/π ≈ 6.3662 cm. Use C = πd = 2πr and A = πr².
Frequently asked questions
How do I convert a circle’s circumference to diameter?
Choose the measurement you know: radius, diameter, circumference or area. Lengths use centimetres and area uses square centimetres. For example, a circumference of 20 cm gives diameter 20/π ≈ 6.3662 cm. Use C = πd = 2πr and A = πr².