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Roof Pitch Calculator

Home & Renovation

Convert rise and run into x:12 pitch, degrees, slope percentage, rafter length and the roof slope factor.

Your inputs

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m

Vertical height gained over the run.

m

Half the span for a symmetrical gable roof.

m

Result

Roof pitch —
  • Angle — °
  • Slope — %
  • Rafter length with overhang — m
  • Slope factor for roof area —
  • Rafter without overhang — m

Change any input and the result updates instantly.

Formula and rules

  • Slope ratio = rise ÷ run
  • Pitch in x:12 = slope ratio × 12
  • Angle = arctan(slope ratio) in degrees
  • Slope percentage = slope ratio × 100
  • Rafter = √(rise² + run²) + overhang
  • Slope factor = √(1 + slope ratio²); multiply by the footprint to get roof surface area

Worked examples

1.5 m rise over 3 m run

Input Rise 1.5 m, run 3 m, overhang 0.5 m.

Result 6:12 pitch, 26.6°, 50% slope, rafter 3.85 m with a 1.118 slope factor.

5 ft rise over 10 ft run

Input Rise 5 ft, run 10 ft, overhang 2 ft.

Result 6:12 pitch, rafter 13.18 ft, roof area 11.8% larger than the footprint.

FAQ

What does a 6:12 roof pitch mean?

It means the roof rises 6 units for every 12 units of horizontal run — roughly 26.6° or 50% slope. In metric terms, 1.5 m of rise over 3 m of run.

How do I get roof surface area from the slope factor?

Multiply the building footprint (including overhangs) by the slope factor. A 100 m² footprint at 6:12 becomes about 111.8 m² of roofing, before waste for hips and valleys.

Does the overhang change the pitch?

No. Overhang only lengthens the rafter and slightly increases roof area; the angle is set by rise and run alone.

Disclaimer: Results follow the formula shown on this page and are for reference only. Real-world quantities vary with materials, technique and conditions, so allow a margin before ordering.