math

Circumference

The distance around the outside of a circle, calculated as C = 2πr or C = πd.

Circumference is the perimeter of a circle. It's the total length of the boundary if you "unrolled" the circle into a straight line.

Formulas

  • C = 2πr (using radius)
  • C = πd (using diameter)

Relationship to Area

Area = πr², so if you know circumference: r = C/(2π), then Area = C²/(4π).

Real-World Example

A bicycle wheel with 26-inch diameter: C = π × 26 ≈ 81.7 inches. Each revolution covers about 6.8 feet.

Related Calculators

Related Terms