Angle Pitch Calculator - Calculator Academy

Enter the rise, run, and angle into the calculator to determine the missing variable.

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Angle Pitch Formula

The following formula is used to calculate the angle pitch for a given rise and run.

θ = atan(R / H)

Variables:

θ is the angle in degrees
R is the rise (vertical height)
H is the run (horizontal length)

To calculate the angle pitch, divide the rise by the run and then take the arctangent of the result. Convert the result from radians to degrees.

What is an Angle Pitch?

An angle pitch, often referred to as the slope or gradient, is a measure of the steepness or incline of a surface. It is commonly used in construction, roofing, and various engineering fields to describe the angle between a horizontal plane and the inclined surface. The angle pitch is typically expressed in degrees and can be calculated using the rise (vertical height) and run (horizontal length) of the surface. Understanding the angle pitch is crucial for ensuring structural stability and proper drainage in construction projects.

How to Calculate Angle Pitch?

The following steps outline how to calculate the Angle Pitch.

First, determine the rise (R), which is the vertical height.
Next, determine the run (H), which is the horizontal length.
Next, calculate the angle using the formula θ = atan(R / H).
Finally, convert the result from radians to degrees if necessary.
After inserting the values and calculating the result, check your answer with the calculator above.

Example Problem :

Use the following variables as an example problem to test your knowledge.

Rise (R) = 5 meters

Run (H) = 12 meters