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Roof Pitch Angle

Use the Roof Pitch Angle — Roofing — with focused inputs, formula guidance, and practical checks for a clear result.

Roof Pitch Angle measurements

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Result

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CategoryConstruction
Inputs2
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How to calculate roof pitch angle

This calculator finds roof pitch angle in degrees from rise and run, using the arctangent (inverse tangent) function.

How the calculation works

Pitch angle = arctan(Rise ÷ Run) × (180 ÷ π), converting the result from radians to degrees.

Example

A rise of 6 inches over a 12-inch run (a standard 6:12 pitch): arctan(6÷12)×(180÷π) = arctan(0.5)×57.3 ≈ 26.57°.

Frequently asked questions

How is Result calculated?

Result = atan([Rise] ÷ [Run]) × 180 ÷ pi().

Is the Roof Pitch Angle free to use?

Yes — every calculator on Simple Calculator Tools is free, runs in your browser, and does not require an account.

Quick Insight

Roof Pitch Angle

Pitch angle = arctan(Rise ÷ Run) × (180 ÷ π), converting the result from radians to degrees.

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Your personalized explanation

Calculate a result above and this guide will help you interpret it using this calculator's own formula and explanation.

Pro Tips for Roof Pitch Angle

  1. Roof pitch is more commonly expressed as a ratio (like 6:12) in the US construction industry rather than degrees — this calculator provides the degree equivalent for reference.
  2. Keep rise and run in the same unit before dividing, since the ratio (not the absolute values) determines the angle.

Common Roof Pitch Angle Mistakes to Avoid

  • Mixing rise and run units (like rise in feet and run in inches) without converting to a consistent unit first, which would produce an incorrect angle.

When to Use This Calculator

This calculator finds roof pitch angle in degrees from rise and run, using the arctangent (inverse tangent) function.

Content reviewed: August 2026 · Robert Threadgill
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