Roofing

How do I calculate roof pitch?

Convert rise and run into pitch notation, angle, and a slope factor for planning.

Short answer

Measure the vertical rise and horizontal run in matching units, divide rise by run, and express the result as rise over a 12-unit run.

For homeowners checking a roof measurement before an early surface-area estimate.

How to do it

  1. Measure rise and run

    Use the same unit for the vertical rise and horizontal run.

  2. Enter both values

    Use the Roof Pitch Calculator and check that the run is greater than zero.

  3. Review the outputs

    Read the :12 pitch, equivalent angle, and slope factor together.

  4. Use the value carefully

    Pass the slope factor to a simple planning estimate only when the roof is represented by that one slope.

Formula

Pitch12 equals rise divided by run multiplied by 12. Angle is arctangent of rise divided by run. Slope factor is the square root of 1 plus the squared ratio.

Illustrative example

A 6 inch rise over a 12 inch run is a 6:12 pitch, about 26.565 degrees, with a slope factor of approximately 1.118034.

Common mistakes

  • Mixing inches and feet without converting
  • Treating pitch as the full roof area
  • Assuming every roof plane has the same slope

Before you buy

Use pitch as one input among the roof measurements. Have unusual, inaccessible, or multi-plane roofs checked by a qualified professional.

What this guide does not cover

Pitch describes one slope only. It cannot model the whole roof, dormers, valleys, hips, or safe access conditions.