Geometry

Circle Calculator

Find circle area, circumference, diameter or radius. Free online Circle Calculator for geometry — instant, accurate results, mobile-friendly, no signup needed.

Radius r, diameter d = 2r, circumference C = 2πr.
Area
78.5398
Circumference
31.4159
Diameter
10.0000

Derivation

  1. ├── 01Givenr = 5
  2. ├── 02FormulaArea = π·r² · Circumference = 2π·r · Diameter = 2r
  3. ├── 035 × 5 = 25.0000
  4. ├── 04Substituteπ × 25.0000 = 78.5398
  5. ├── 05Area78.5398
  6. ├── 06Circumference2π × 5 = 31.4159
  7. └── 07Diameter2 × 5 = 10.0000
Did you know?

Archimedes (c. 250 BCE) estimated π between 223⁄71 and 22⁄7 by inscribing and circumscribing 96-sided polygons in a circle.

§01What is

Understanding the Circle Calculator

The Circle Calculator helps you compute find circle area, circumference, diameter or radius.. It runs entirely in your browser with no sign-up required.

Geometry is what turns raw measurements into useful answers about space — how much paint, how big a yard, how much material a project will need. Every craftsperson, architect, and DIYer reaches for these formulas regularly. The Circle Calculator sits in that toolkit — it find circle area, circumference, diameter or radius. Enter your numbers above and the result updates instantly; every step of the math is shown in the Derivation panel so you can see exactly how the answer was reached.

§02FAQ

Frequently asked questions

Yes. The calculator implements the standard formula as documented and returns exact floating-point results. No approximations are used unless noted in the formula.
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