`m = "rise"/"run"`

18.4332

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

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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.

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Roof Types

Roofing Calculators

Gable Roof Area of Gable Roof Gable Roof 4x8 Sheathing Gable Roof Sheathing Cost Purlins for a Gable Roof Metal for a Gable Roof Screws for Metal Gable Roof Shingles for a Gable Roof Gable Roof Shingle Cost Underlayment for Gable Roof Nails for Gable Sheathing Roofing Nails for Gable Roof Rafters and Ties for Roof Rafters Length	Hip Roof Surface Area of Hip Roof Sheathing for Hip Roof Shingles for Hip Roof Roofing Nails for Hip Roof Cost of Shingles for Hip Roof Metal for Hip Roof Screws for Metal Hip Roof Purlins for Hip Roof Underlayment for Hip Roof Surface area for Double Hip Roof Hip Roof Geometries	Shed Roof Bundles of Shingles for Shed Roof Cost to Shingle a Shed Roof Underlayment and Cost for Shed Roof 4x8s for Shed Roof Metal Panels (Ag Panels) for Shed Roof Screws for Metal Panel Shed Roof Purlins for Shed Roof Trusses for Shed Roof Metal for Shed Roofed Animal Run-in
Dormers Surface Area of Dormers Metal for Dormers Screws for Metal Dormers 4x8s for Dormers Shingles for Dormers Roofing Nails for Dormers Purlins for Dormers	Pyramid Hip Roof Shingles for a Pyramid Roof 4x8 Sheathing for Pyramid Roof Underlayment for Pyramid Roof Metal Panels for Pyramid Roof Purlins for Pyramid Roof Pyramid Roof Geometries	Roofing Geometries Pitch to Slope Pitch to Angle Rise over Run to Angle Gambrel Angle Interface Angle Interface Angle from Rise over Run Trusses Needed for a Roof Area of Roof Section
Gambrel Roof Gambrel Roof Surface Area Gambrel Roof Shingles  Roofing Nails for Gambrel Roof Gambrel Roof Underlayment Purlins for Gambrel Roof Gambrel Roof Metal Panels Screw for Metal Gambrel Roof Gambrel Angle