Circle Calculator

Calculate circle measurements from radius, showing how diameter and circumference grow linearly while area grows by the square.

One radius, three measurements

Radius is the control value for a circle. Diameter crosses the circle through the center, circumference wraps around the edge, and area covers the surface inside.

Choose the right input and unit

  1. Use radius directly when you have it.
  2. Divide diameter by 2 before using radius formulas.
  3. Keep linear units for diameter and circumference.
  4. Use square units for area.
  5. Round pi only as much as your context allows.

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Core circle relationships

Area grows faster than circumference because radius is squared.

Diameterd=2r
Circumference from radiusC=2πr
Circumference from diameterC=πd
AreaA=πr2
Growth comparisonr2r,C2C,A4A

Common mistakes

  • Entering diameter as radius.
  • Writing area in regular length units.
  • Writing circumference in square units.
  • Rounding pi too early in a multi-step calculation.

FAQ

Why does circumference use regular units but area uses square units?

Circumference is a length around the edge, so it uses units like cm or inches. Area covers a surface, so it uses square units like cm^2 or in^2.

What happens if I enter diameter as the radius?

Every result will be too large. The diameter is twice the radius, so divide diameter by 2 before calculating area or circumference.