Circle calculator

Measurements
cm

Centre to the circular edge.

Advanced

Changing a measurement unit keeps its number: 3 cm becomes 3 m. Unit for all measurements applies to every input and the result. Result unit converts only the answers.

The diameter passes through the centre and equals twice the radius.

Number format

Use a decimal point or comma, without thousands separators. Up to 15 significant digits and 64 characters; no fractions or expressions.

Circle schematic. The diameter passes through the centre and equals twice the radius.Ord

Not to scale

Enter your measurements to see the results.

No personal result is available. These are the circle formulas and conditions.

Formulas and conditions

Circle

A circle with center O. The radius r joins O to the edge. The diameter d passes through O and is twice r.Ord
Radius / diameter
d=2r
Circumference
C=2πr=πd
Area
A=πr2=πd24

r radius · d diameter · O center · A area · C circumference

r > 0. π is exact; use ≈ for rounded answers.

Using d as r makes the area four times too large.

Diagrams are schematic, not to scale.

Radius runs from the center to the edge. Diameter crosses the center from edge to edge, so divide a known diameter by two before using a radius formula.

π remains exact in a multiple such as 25π. A decimal with ≈ is rounded; the calculator uses π without rounding it to 3.14 first.

Use the same length unit throughout a formula. Convert mixed measurements first. Length and perimeter use units such as cm; area uses cm²; volume uses cm³. Decimal examples below are rounded to at most six significant figures, with ≈ marking an approximation.

Worked example: A circle with diameter 10 cm

  1. r = 10 ÷ 2 = 5 cm.
  2. A = π × 5² = 25π cm² ≈ 78.5398 cm².
  3. C = π × 10 = 10π cm ≈ 31.4159 cm.

The two circumference expressions agree: 2π × 5 = π × 10. Using diameter 10 as radius would make the area four times too large.

Formula sources

Formulas are checked against these references. The explanation, diagrams and worked calculations here are authored for Geometry Glance.