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Roof Pitch Calculator

Convert rise and run into the four standard pitch formats.

Pitch from rise / run
Optional — footprint area

What is roof pitch calculator?

Roof pitch describes how steep a roof is. The standard residential convention is rise-in-12: a 6:12 pitch climbs 6 inches vertically for every 12 inches of horizontal run. That ratio also has three other useful forms — degrees of slope, percent grade, and the slope factor that multiplies footprint area into actual roof surface area.

This calculator takes rise and run in any matching unit and returns all four formats at once. Add an optional footprint length and width to see the roof’s actual surface area, which is what you need for ordering shingles, metal panels, or membrane material.

The math is plain right-triangle trigonometry: a 6:12 pitch is 26.57°, 50% grade, and a slope factor of ~1.118. Steeper pitches multiply your shingle order surprisingly fast — a 12:12 (45°, 100%) needs over 40% more roofing material than a flat reference, even with the same footprint.

When to use a roof pitch calculator

  • Identifying pitch from existing measurements — Measure a stair-step on the existing roof or attic rafter, then convert to all four formats for ordering matching shingles or trusses.
  • Planning new construction — Decide between a 4:12 and an 8:12 pitch for a new addition; see how each translates into degrees and slope factor.
  • Code and warranty checks — Confirm a roof meets the minimum pitch requirements for a specific shingle, metal panel, or membrane product.

How to use the Roof Pitch Calculator

  1. Measure rise and runRun is horizontal distance, rise is vertical. The conventional reference run is 12 inches, but any equal-unit pair works.
  2. Read all four pitch formatsThe result shows pitch as X:12, in degrees, as a percent grade, and as a slope factor (the multiplier from footprint to roof surface area).
  3. (Optional) compute roof areaFill in the footprint length and width to see the actual roof surface area for that pitch.

Worked examples

Common residential 6:12

Input:  Rise=6 in, Run=12 in
Output: 6.00:12 — 26.57° — 50.0% — slope factor 1.118

Low-slope 2:12

Input:  Rise=2 in, Run=12 in
Output: 2.00:12 — 9.46° — 16.7% — slope factor 1.014

Steep 12:12 cathedral

Input:  Rise=12 in, Run=12 in
Output: 12.00:12 — 45.00° — 100.0% — slope factor 1.414

Frequently asked questions

What's the difference between roof pitch and roof slope?
They're synonyms in residential construction. Pitch is usually expressed as rise-in-12 (e.g., 6:12). Slope is more often expressed in degrees or percent. The math is identical.
What's a 'slope factor'?
The slope factor is √(rise² + run²) / run — the multiplier that converts horizontal footprint area into the actual roof surface area. A 6:12 pitch has a slope factor of ~1.118, meaning a 2,000 sq ft footprint has ~2,236 sq ft of roof surface.
What's the minimum pitch for asphalt shingles?
Most manufacturers spec a minimum 2:12 for asphalt shingles, with special underlayment requirements below 4:12. Always check the specific product's warranty.
How do I convert pitch to degrees?
Degrees = atan(rise / run) × 180/π. A 6:12 pitch is atan(6/12) ≈ 26.57°.
What's considered a 'steep' roof?
Anything above 9:12 (about 37°) is usually considered steep-slope and requires fall protection during work. 12:12 (45°) is a common cathedral or A-frame pitch.
Why does my pitch reading from the attic differ from the soffit?
Old framing settles unevenly and rafters can bow. Measure pitch at multiple points along the rafter and average them, or use the steepest reading for material orders.
Can I use any units for rise and run?
Yes — as long as they match. Inches and inches, millimeters and millimeters, even feet and feet. The output normalizes to rise-in-12 either way.