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Roof Pitch Calculator

A roof's pitch from its rise and run: x in 12, the angle, the slope and the rafter multiplier.

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Result…

Vertical height, in any unit.

Horizontal distance, in the same unit (half the span for a gable).

 

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How it's calculated

Pitch = 12 × rise ÷ run (x in 12)
Angle = atan(rise ÷ run)
Slope % = rise ÷ run × 100
Rafter multiplier = √(1 + (rise ÷ run)²)

Turns a roof's rise and run into the pitch roofers use (inches of rise per 12 of run), the angle in degrees and the slope as a percentage. Multiply a horizontal run by the rafter multiplier to get the length along the slope, which also scales a plan area up to the true roof area.

Your numbers, step by step

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