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Math Calculators

Circle from Circumference Calculator

Verified formula Updated Jun 2026 Private — runs on your device

Enter details
units
Verified formula Private

Radius

5.0000

Diameter
10.0000
Area
78.5397

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

How to use the Circle from Circumference Calculator

The Circle from Circumference Calculator works out your radius, along with 2 related figures in an instant. Enter circumference 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 circumference.
  2. Read off your radius, together with diameter and area — the calculator updates automatically, with no button to press.

Formula

The Circle from Circumference Calculator uses the formula:

Radius = Circumference ÷ (2 × 3.141592653589793)

Worked example

For example, with circumference of 31.4159 units, the radius is 5.0000.

Inputs used
Circumference 31.4159 units
Results
Radius 5.0000
Diameter 10.0000
Area 78.5397

Results are estimates for educational use, not professional advice.

Key terms explained

Circumference
The distance around the edge of a circle, equal to 2 × π × radius.
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 circumference by 2π. A circumference of about 31.42 gives a radius of 5.

Use A = C² ⁄ 4π. A circumference of 31.42 gives an area of about 78.54 square units.

Divide the circumference by π. It is also simply twice the radius.

Because circumference is 2πr, reversing it to find the radius means dividing by 2π.

The Circle from Circumference Calculator uses the formula: Radius = Circumference ÷ (2 × 3.141592653589793). For example, with circumference of 31.4159 units, the radius is 5.0000.

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

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