American flag size proportions calculator

Scale the US flag's standard 1:1.9 proportions from its height, including the union, stripes and star diameter.

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Flag height, hoist (any length unit)

Answer

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Scale the US flag's standard 1:1.9 proportions from its height, including the union, stripes and star diameter.

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Precision and calculation record

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Rounding changes displayed numbers, not the calculation. Text, fractions, matrices and CSV schedules keep their own formatting. Automatic keeps up to 12 significant digits, with money shown to cents where applicable.

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Formula and assumptions

Uses the Executive Order 10834 drawing reproduced by GovInfo. All outputs use the same unit as the entered hoist. The union height and stripe use the drawing's exact fractions, 7/13 and 1/13; star diameter uses its decimal factor 0.0616. This scales the standard drawing, not every authorized procurement size or a sewing pattern with seam allowances.

Automatic precision shows numbers to 12 significant digits. Thousands separators such as 1,000 are accepted; use a dot for decimals.

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Updated 2026-09-29

Using American flag size proportions calculator

Scale the US flag's standard 1:1.9 proportions from its height, including the union, stripes and star diameter.

Next: Area calculator

Next: Length converter

A worked example

For flag height, hoist (any length unit) = 13, flag length (fly) = 24.7.

Before you use the result

Example results for flag height, hoist (any length unit)

These examples use the formula above. They are reference calculations, not recommended settings.

Flag height, hoist (any length unit)	Flag length (fly)
6.5	12.35
13	24.7
26	49.4

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ToolOctopus. “American flag size proportions calculator.” Updated 2026-09-29. https://tooloctopus.com/american-flag-size-proportions-calculator.

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