Pitch to Angle

The Pitch to Angle calculator returns the angle based on a chosen pitch. 

INSTRUCTIONS: Enter the following:

• (P) Pitch Angle (rise over run)

Angle (Θ): The calculator returns the angle in degrees.  However, this can be automatically converted to compatible units via the pull-down menu.

The Math / Science

The formula for the angle based on the pitch is:

      Θ = atan( rise / run)

where

• Θ = angle
• rise = vertical measurement
• run = horizontal measurement

Roofing Geometries Calculators

• Pitch to Slope: This converts pitch (e.g., 4/12) to slope.
• Pitch to Angle: This converts pitch (e.g., 10/12) to an angle in degrees.
• Rise over Run to Angle: This converts rise over run to an angle in degrees.
• Gambrel Angle: Computes the bend at the intersection of two slope as in a gambrel roof.
• Interface Angle: This computes the interface angle between two sloped surfaces.
• Interface Angle from Rise over Run: This computes the interface angle based on two rises and runs.
• Trusses Needed for a Roof: This computes the number of trusses needed for a roof based on the ridge length and truss spacing
• Roof Section Area: This computes the surface area of an irregular shaped section of a roof.
• Gable Roof Geometries: This computes the lengths and measurements for a gabled roof based on the ridge length, pitch, span and overhang.
• Dormer Geometries: This computes the measurements for a gable dormer based on the dimension of the dormer and main roof..
• Hip Roof Geometries: This the metrics associated with a hip roof based on the dimensions.
• Double Hip Roof Geometries: This compute the lengths of the dimensional lines where one hip roof intersects another such as in a dormer.
• Pyramid Hip Roof Geometries: This computes the lengths and dimensional lines of a pyramid roof.
• Gambrel Pitch Angles: This computes the pitch angles and rafter lengths in a gambrel roof bases on the span, total height, and height and width of the loft.
• Gambrel Rafter Lengths. This computes the upper and lower rafter lengths, attic width and total height under a gambrel roof based on the upper and lower pitch, span and loft height.
• Rafter Length: This computes the length of the rafters based on the span, pitch and overhang.
• Corrugation Factor: This computes the material length associated with a structural length using corrugated material.

Roof Types

Roofing Calculators