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Math Calculators

Square Side from Diagonal Calculator

Verified formula Updated Jun 2026 Private — runs on your device

Enter details
Verified formula Private

Side length

7.071068

Area
50.0000

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

How to use the Square Side from Diagonal Calculator

The Square Side from Diagonal Calculator works out your side length, along with 1 related figure in an instant. Enter diagonal 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 diagonal.
  2. Read off your side length, together with area — the calculator updates automatically, with no button to press.

Formula

The Square Side from Diagonal Calculator uses the formula:

Side length = Diagonal ÷ √(2)

Worked example

For example, with diagonal of 10, the side length is 7.071068.

Inputs used
Diagonal 10
Results
Side length 7.071068
Area 50.0000

Results are estimates for educational use, not professional advice.

Key terms explained

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

Frequently asked questions

Divide the diagonal by √2. A diagonal of 10 gives a side of about 7.07.

Use diagonal² ÷ 2. A diagonal of 10 gives an area of 50.

The diagonal of a square is side × √2, so dividing reverses it.

Yes, about 1.414 times the side for any square.

The Square Side from Diagonal Calculator uses the formula: Side length = Diagonal ÷ √(2). For example, with diagonal of 10, the side length is 7.071068.

Enter the diagonal. Read off your side length, together with area — the calculator updates automatically, with no button to press.

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