Interface Angle from Rise over Run

The Interface Angle from Rise over Run calculator computes the outer angle made by two intersecting right triangles defined by their pitch defined as rise over run.

INSTRUCTIONS: Enter the following:

• (RS1) Rise in Pitch 1
• (RN1) Run in Pitch 1
• (RS2) Rise in Pitch 2
• (RN2) Run in Pitch 2

Interface Angle (B): 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 exterior angle of intersection of two right triangles is:

B = π + P1 - P2

where:

• B = Interface Angle
• P1 = Angle 1
• P2 = Angle 2

Note: P1 and P2 are two pitches.  They are converted to radian angles.

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.
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• Double Hip Roof Geometries: This compute the lengths of the dimensional lines where one hip roof intersects another such as in a dormer.
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• 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