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Math Calculators

Circle Area from Diameter Calculator

Verified formula Updated Jun 2026 Private — runs on your device

Enter details
Verified formula Private

Area

78.5398

Circumference
31.4159

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

How to use the Circle Area from Diameter Calculator

The Circle Area from Diameter Calculator works out your area, along with 1 related figure in an instant. Enter 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 diameter.
  2. Read off your area, together with circumference — the calculator updates automatically, with no button to press.

Formula

The Circle Area from Diameter Calculator uses the formula:

Area = 3.141592653589793 × (Diameter ÷ 2)^(2)

Worked example

For example, with diameter of 10, the area is 78.5398.

Inputs used
Diameter 10
Results
Area 78.5398
Circumference 31.4159

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.
Area
The amount of two-dimensional space a shape covers, measured in square units.

Frequently asked questions

Halve the diameter for the radius, then use πr². A diameter of 10 gives an area of about 78.54.

Multiply the diameter by π. A 10-unit diameter has a circumference of about 31.42.

Area uses the radius, which is half the diameter, so the diameter must be halved before squaring.

Pi is about 3.14159, the constant ratio of a circle's circumference to its diameter.

The Circle Area from Diameter Calculator uses the formula: Area = 3.141592653589793 × (Diameter ÷ 2)^(2). For example, with diameter of 10, the area is 78.5398.

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

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