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Math Calculators

Circle Radius from Area Calculator

Verified formula Updated Jun 2026 Private — runs on your device

Enter details
Verified formula Private

Radius

5.000006

Diameter
10.0000

For general information only — not financial, tax, legal or medical advice. Verify before you rely on it.

How to use the Circle Radius from Area Calculator

The Circle Radius from Area Calculator works out your radius, along with 1 related figure in an instant. Enter circle area and the result updates as you type — it is free, needs no sign-up, and runs entirely in your browser so your figures stay private.

  1. Enter the circle area.
  2. Read off your radius, together with diameter — the calculator updates automatically, with no button to press.

Formula

The Circle Radius from Area Calculator uses the formula:

Radius = √(Circle area ÷ 3.141592653589793)

Worked example

For example, with circle area of 78.54, the radius is 5.000006.

Inputs used
Circle area 78.54
Results
Radius 5.000006
Diameter 10.0000

Results are estimates for educational use, not professional advice.

Key terms explained

Diameter
The distance across a circle through its centre — twice the radius.
Radius
The distance from the centre of a circle or sphere to its edge.
Area
The amount of two-dimensional space a shape covers, measured in square units.

Frequently asked questions

Divide the area by π and take the square root. An area of 78.54 gives a radius of 5.

Radius = √(area ÷ π), the inverse of the area formula πr².

Double the radius. The calculator shows the diameter alongside the radius.

It is useful when you know the area, such as a footprint or coverage, and need the radius or diameter.

Enter the circle area. Read off your radius, together with diameter — the calculator updates automatically, with no button to press.

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