/// Pitch, angle & rafter factor

Roof Pitch Calculator

Use the roof pitch calculator to convert rise and run into pitch per twelve, slope percent, angle, rafter multiplier, and a simple rafter length. These outputs describe entered geometry only; they do not select structural members. Confirm the actual run convention, overhangs, ridge details, loads, and approved roof design separately.

Content reviewed Jul 16, 2026 · Source records reviewed through Jul 15, 2026

01

Roof slope

Rise and run must use the same unit. Horizontal span is the single-side run from wall to ridge, not the full building width.

in
in
ft
View current estimate

/// Answer-first planning notes

What pitch, angle, and rafter multiplier match my rise and run?

Roof slope geometry checkpoints
Planning inputCalculation roleCheck before ordering
RiseForms the slope ratioMeasure under the same convention as run
RunNormalizes pitch and angleDo not substitute total span
Horizontal spanScales the rafter-line resultAdd overhang and ridge details separately

/// Formula & field notes

How this roof pitch estimate works

FormulaSlope = rise ÷ run. Pitch = slope × 12. Angle = arctan(slope). Rafter multiplier = √(1 + slope²).

Worked example

A 6 in rise over 12 in run is a 6:12 pitch, 50% slope, and about 26.57°.

/// Source trail

Data & assumptions

Every source has a declared scope. A reference can support a conversion or product assumption without turning this estimate into a supplier quote.

National Institute of Standards and Technology · Primary evidenceNIST Guide to the SI, Appendix B: Conversion Factors

Exact international-foot to meter conversion; U.S. survey-foot conversion is explicitly outside this claim.

Effective 2025-08-18 · Reviewed 2026-07-15 · Next review 2027-07-15
NOAA National Geodetic Survey · Prequalified fallbackThe DSDATA Format, Appendix D: U.S. Survey Foot vs International Foot

Independent confirmation that one international foot equals exactly 0.3048 meters; U.S. survey-foot conversion remains distinct.

Effective 2025-06-10 · Reviewed 2026-07-15 · Next review 2027-07-15

/// Common questions

Roof Pitch calculator FAQ

What does a 6:12 roof pitch mean?

The roof rises 6 units for every 12 horizontal units. The ratio is independent of whether the units are inches, centimeters, or another consistent measure.

Is roof pitch the same as roof angle?

They describe the same slope differently. Pitch is commonly expressed as rise per 12 in the U.S.; angle is measured in degrees.

Does rafter length include the overhang?

No. The calculated length uses the horizontal span you enter. Add the actual horizontal overhang and other framing details separately.