Roofing calculator

Roof Pitch Calculator

Convert any rise and run into X:12 pitch, angle, slope, and multiplier.

Enter your measurements

Your estimate

6 : 12

Normalized roof pitch

Roof angle
26.57°
Slope
50%
Pitch multiplier
1.118
riserun

Start with the right measurement

Roof pitch is a ratio, not a measurement along the shingles. This calculator helps you translate a level run and vertical rise into the notation used when comparing roof plans, cutting lists, and material estimates.

How to use this calculator

  1. 01Rise: Vertical change over the measured run.
  2. 02Run: Level horizontal distance; it must be greater than zero.

The pitch notation is easiest to compare with roofing tables; angle and slope percentage are alternate views of the same geometry. The multiplier is the sloped-length factor used for surface estimates.

Units: Inches, feet, centimetres, and metres all work. Rise and run only need to use the same unit; the ratio cancels the unit.

How the calculation works

FormulaPitch = rise ÷ run. Angle = arctan(rise ÷ run). The X:12 result multiplies that ratio by 12.

A 6-inch rise over a 12-inch run is a 6:12 pitch, a 26.57° angle, and a 50% slope.

Worked examples

Low-slope porch roof

  1. Measure a 12 in horizontal run.
  2. Measure 3 in of vertical rise.
  3. Divide 3 by 12: 0.25, then multiply by 12 for notation.

Result: The roof is 3:12, about 14.04°, and 25% slope.

Steeper gable

  1. Use a 10 in run and 8 in rise with the same units.
  2. Compute 8 ÷ 10 = 0.8.
  3. Convert the ratio to an X:12 pitch: 0.8 × 12.

Result: The result is 9.6:12, about 38.66°, and 80% slope.

How to measure

  1. 01Measure rise and run using the same unit.
  2. 02Keep the level run horizontal—not along the roof surface.

Common mistakes to avoid

  • Mixing inches and feet
  • Measuring the sloped length as run
  • Rounding before the final step

Safety note

Do not climb or measure a roof without appropriate fall protection and a safe access plan.

Limits of this estimate

This geometry does not evaluate roof structure, loading, drainage, flashing, or local rules.

Frequently asked questions

Is 6:12 the same as 50%?

Yes. Six divided by twelve is 0.5, or a 50% slope.

Can rise and run be in centimetres?

Yes. The ratio is unitless as long as both use the same unit.