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Electrical Calculators

Wire Cross Section Area Calculator

Verified formula Updated Jun 2026 Private — runs on your device

Enter details
mm
Verified formula Private

Cross-sectional area

3.1416

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

How to use the Wire Cross Section Area Calculator

The Wire Cross Section Area Calculator works out your cross-sectional area in an instant. Enter wire diameter 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 wire diameter.
  2. Read off your cross-sectional area — the calculator updates automatically, with no button to press.

Formula

The Wire Cross Section Area Calculator uses the formula:

Cross-sectional area = 3.141592653589793 × (Wire diameter ÷ 2)^(2)

Worked example

For example, with wire diameter of 2 mm, the cross-sectional area is 3.1416.

Inputs used
Wire diameter 2 mm
Results
Cross-sectional area 3.1416

Results are estimates for educational use, not professional advice.

Key terms explained

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

Frequently asked questions

Use π × (diameter ÷ 2)². A 2 mm wire has an area of about 3.14 mm².

It sets how much current a wire can safely carry; thicker wire has more area and lower resistance.

Wire gauges map to standard cross-sectional areas, so area helps compare cables across systems.

Use π × radius² directly, since the radius is half the diameter.

The Wire Cross Section Area Calculator uses the formula: Cross-sectional area = 3.141592653589793 × (Wire diameter ÷ 2)^(2). For example, with wire diameter of 2 mm, the cross-sectional area is 3.1416.

Enter the wire diameter. Read off your cross-sectional area — the calculator updates automatically, with no button to press.

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