Pitch to Angle Converter

Convert roof pitch from rise over run to an angle in degrees instantly.

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How This Tool Works

The Pitch to Angle Converter turns a roof pitch ratio into an angle in degrees. Enter the vertical rise and horizontal run using the same unit, such as inches over inches.

The calculator divides rise by run, then applies the arctangent formula: angle = arctan(rise / run). A 6 inch rise over a 12 inch run gives arctan(6 / 12), which is about 26.57 degrees.

  • Input: Rise and run values in matching units.
  • Formula: angle = arctan(rise / run).
  • Output: Angle in degrees, grade percentage, radians, and DMS.

Why This Matters

Roof pitch, grade percentage, and degrees describe the same slope in different formats. Converting pitch to degrees helps compare rafter angles, roof plans, drainage slopes, and construction notes that do not use the same notation.

Keep the rise and run in the same unit before calculating. A 6/12 pitch means 6 inches of rise for every 12 inches of horizontal run, not the length along the roof surface.

Common Mistakes to Avoid

  • Use horizontal run: Do not enter the sloped rafter length as the run.
  • Keep units consistent: Rise and run can be inches, feet, or centimeters as long as both use the same unit.
  • Do not use sine for pitch ratio: Rise over run converts with arctangent, while sine applies to rise over hypotenuse.

Frequently Asked Questions

Common questions about the Pitch to Angle Converter

Enter your Pitch value in the input field, and the converter will automatically calculate the equivalent Angle value. You can also click the swap button to reverse the conversion direction.
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Sources & References

International System of Units (SI): plane angle

Plane angle is measured in the radian (rad); 1° = π/180 rad. Conversions between SI and other units use exact, internationally agreed factors maintained by NIST.
→Source: NIST — International System of Units (SI)

International System of Units (SI)

Authoritative definitions for plane angle, from the BIPM SI Brochure (9th edition), the defining reference for the SI.
→Source: BIPM — SI Brochure (9th ed.)

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