Gearboxly

Free Circle Calculator

Find radius, diameter, circumference and area.

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What is the Circle Calculator?

Radius, diameter, circumference and area are all locked together by π — know any one and the other three follow. That comes up constantly, from working out how much edging a round garden bed needs to sizing a pipe or a pizza.

This calculator lets you enter whichever value you have and instantly gives the other three, calculated precisely.

Last updated: Aug 12, 2026

What does this tool do?

You pick which measurement you know — radius, diameter, circumference or area — enter it, and the tool derives the rest using π.

Because any single value determines a circle completely, one input is all it needs to fill in everything else.

Key features

Any input

Start from radius, diameter, circumference or area.

All four outputs

Get the other three every time.

Precise

Uses the full precision of π.

Instant

Results update as you type.

Private

Calculations run in your browser.

Example

Input
Radius = 5
Processing
The tool computes diameter, circumference and area from the radius.
Output
Diameter 10, circumference ≈ 31.42, area ≈ 78.54.

Common use cases

  • StudentsSolve geometry problems.
  • DIYersMeasure round tables, beds or patios.
  • EngineersSize pipes, discs and openings.
  • DesignersWork with circular shapes precisely.
  • GardenersCalculate edging or coverage for round beds.
  • TeachersDemonstrate the π relationships.
  • MakersPlan circular cuts and parts.
  • Anyone with a circleGet every measurement from one.

Benefits

  • One value gives you all four measurements.
  • It works from whichever number you actually have.
  • It's precise, not a rounded estimate.
  • Nothing you enter leaves your device.

Tips

  • Diameter is twice the radius; radius is half the diameter.
  • Circumference is π times the diameter.
  • Area is π times the radius squared.
  • Keep units consistent — the outputs match your input's units (area is squared).
  • To find radius from area, take the square root of area over π.
  • Round the final answer to the precision your task needs.
  • For a semicircle, halve the area and adjust the perimeter.
  • π is irrational, so results are precise decimals, not exact fractions.

Common mistakes to avoid

Mixing radius and diameter

Fix: Confirm which one your value is — they differ by a factor of two.

Forgetting area is squared units

Fix: Area comes out in square units, unlike the linear measurements.

Rounding π too early

Fix: The tool uses full-precision π; round only the final answer.

Inconsistent units

Fix: Use one unit throughout so the outputs make sense.

How it works

  1. 1

    Pick a known value

    Radius, diameter, circumference or area.

  2. 2

    See the rest

    The other three are calculated instantly.

Frequently asked questions

Any single value — radius, diameter, circumference or area — and the tool computes the rest.

It uses the full precision of π for accurate results.

Any single value — radius, diameter, circumference or area — and the tool computes the rest.

It uses the full precision of π for accurate results.

Take the square root of the area divided by π. The tool does this automatically when you enter area.

Whatever you enter — outputs match your input's units, with area in squared units.

Compute the full circle, then halve the area and adjust the perimeter for a semicircle.

No. Everything is calculated in your browser.

Conclusion

Any one circle measurement unlocks the other three here, precisely and instantly. Pair it with the area and length converters when you need the results in other units.

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