The Pitch to Slope and Angle calculator returns the slope and angle based on a chosen pitch.
INSTRUCTIONS: Enter the following:
Slope (m) and Angle (Θ): The calculator returns the slope as a real number and the angle in degrees.
The formula for the angle based on the pitch is:
Θ = atan( rise / run)
where
The slope of an angle is a measure of its steepness or inclination. In geometry, the slope of an angle is typically defined as the ratio of the rise (vertical change) to the run (horizontal change) along the angle. It indicates how much the angle rises or falls for each unit of horizontal distance traveled.
In roofing geometry, slope represents the ratio of the vertical change to the horizontal change between any two points on the roof along the line heading directly to the ridge. This slope is also known as the gradient and can be calculated using the formula:
m = rise / run
where: