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Circle Calculator (A = πr²)

Quick answer

This calculator computes circle area, circumference, radius and diameter with A = πr² and C = 2πr.

  • Worked example: r = 5 cm → A = 78.54 cm², C = 31.42 cm.
  • Free and instant.

Figures are estimates from this calculator’s standard formula — adjust the inputs in the tool below for your exact number.

How the Circle Calculator Works

Area = πr², Circumference = 2πr, Diameter = 2r

Enter any one known value — radius, diameter, circumference or area — and the rest follow through π. Worked example: r = 5 cm gives A = π × 25 = 78.54 cm² and C = 2π × 5 = 31.42 cm. If you know the diameter instead, halve it first: d = 10 cm means r = 5 cm.

  1. 1

    Enter the known value

    Radius, diameter, circumference or area — any one of them.

  2. 2

    Check the units

    Length in cm, m, ft or in; area comes out squared.

  3. 3

    Read all results

    The remaining three circle properties appear instantly.

Use Cases

Sizing circular gardens, pools and round tables

Calculating pizza, pie and plate areas in the kitchen

Finding wheel circumference for speed and distance meters

Geometry homework on arcs, sectors and chords

Tips

  • 1

    π ≈ 3.14159; the calculator keeps full precision until the final rounding

  • 2

    Circumference is the perimeter of the circle: C = πd works too

  • 3

    Area scales with the square of the radius: double r, quadruple A

Common Mistakes

  • Using the diameter where the radius belongs — r = d/2, so the area shrinks 4×

  • Forgetting to square r in A = πr²

  • Reporting area in linear units instead of square units

  • Rounding π to 3.1 in precision work (use 3.14159 or better)

FAQs