Circle Calculator

Solve radius, diameter, circumference and area from any one circle measurement.

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Circle calculator from radius, diameter, circumference or area

Choose any known circle measurement and enter its value. HitEquals solves radius, diameter, circumference and area without requiring a second input.

Editorial checkCircle relationships checked against OpenStax geometry and physics references.Updated September 9, 2026Read the publication standard

Inputs used by this calculator

Circle Calculator uses the fields below. The starting values reproduce the page example; replace them with values from the same units and time period before using the result.

Field-by-field reference for Circle Calculator.
InputStarting exampleAccepted valueHow it is used
Known measurementRadiusRadius · Diameter · Circumference · AreaSupplies the known measurement quantity used by the published equation or result breakdown.
Known value51e-12 to 1000000000000Supplies the known value quantity used by the published equation or result breakdown.
Circle Calculator calculation pathKnown measurement and Known value pass through the displayed Circle Calculator relationship before the main answer and supporting values are shown.1Entered values2Published formula3Checked result
Circle Calculator calculation pathKnown measurement and Known value pass through the displayed Circle Calculator relationship before the main answer and supporting values are shown.

Circle measurements

Radius runs from center to edge. Diameter crosses the center and equals two radii. Circumference is boundary length; area is enclosed surface.

Circle formulas

Every measure can be derived from radius.

d=2rC=2πr=πdA=πr²

Solve backward

From circumference, divide by 2π for radius. From area, divide by π and take the positive square root.

Units and precision

Radius, diameter and circumference share a linear unit. Area uses the corresponding square unit. π remains unrounded internally.

Worked example

For radius 5, diameter is 10. Multiplying 10 by π gives circumference; multiplying 25 by π gives area.

What the Circle Calculator answers

Solve radius, diameter, circumference and area from any one circle measurement.

Use Circle Calculator when you know Known measurement and Known value and need the relationship expressed by the published equation.

Convert a known measure to radius

Once radius is known, every other measure follows.
KnownRadius
Radius rr
Diameter dd/2
Circumference CC/(2π)
Area A√(A/π)

Frequently asked questions

What is circle circumference?

It is the distance around the circle: 2πr or πd.

How do I find radius from area?

Divide area by π and take the positive square root.

Is diameter twice radius?

Yes.

Does area use square units?

Yes, such as square inches or square meters.

Is π rounded?

The engine uses JavaScript's full numeric π value and rounds only the display.

What question does this Circle Calculator answer?

Solve radius, diameter, circumference and area from any one circle measurement.

What to keep in mind

Results use the same linear unit as the input and its square for area.

Results are rounded for display in US format, with money in dollars and cents; CSV exports keep full calculation precision. This is a calculation summary, not an official certificate.

Sources and references

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