Units
Rise & Run
Rafter Length
—
Roof Pitch
—
Rise
—
Run
—
Pitch Angle
—
Pitch (ratio)
—
Pitch (%)
—
Right triangle diagram: Rise (vertical) | Run (horizontal) | Rafter (hypotenuse)
Rafter Formulas (Pythagoras)
Rafter² = Rise² + Run²Pythagorean theorem
Rafter = √(Rise² + Run²)Length from rise & run
Pitch (ratio) = Rise / RunInches per foot (x:12)
Pitch (%) = (Rise / Run) × 100Percentage slope
Pitch (deg) = atan(Rise / Run)Angle in degrees
Rafter = Run × √(pitch² + 1)Using pitch ratio