1. What is Pitch to Angle Conversion?

The pitch to angle conversion calculates the angle (in radians or degrees) from a given pitch ratio (rise over run). This is commonly used in roofing, construction, and engineering to determine slopes.

2. How Does the Calculator Work?

The calculator uses the arctangent function:

Where:

• \( \text{pitch} \) — The ratio of vertical rise to horizontal run
• \( \arctan \) — The inverse tangent function

Explanation: The arctangent function converts the ratio of opposite side (rise) to adjacent side (run) into an angle in radians, which can then be converted to degrees.

3. Importance of Angle Calculation

Details: Accurate angle calculation is crucial for proper roof construction, road design, wheelchair ramp construction, and any application where slope needs to be precisely determined.

4. Using the Calculator

Tips: Enter the pitch value (rise/run ratio). For example, a 4:12 pitch would be entered as 0.333 (4 divided by 12). The calculator will provide the angle in both radians and degrees.

5. Frequently Asked Questions (FAQ)

Q1: What's the difference between pitch and angle?
A: Pitch is a ratio (rise/run) while angle is the actual slope measurement in degrees or radians.

Q2: How do I convert a roof pitch like 4:12 to a value for this calculator?
A: Divide the first number by the second (4 ÷ 12 = 0.333) and enter that value.

Q3: What's the maximum pitch value I can enter?
A: There's no strict maximum, but extremely high pitch values will approach 90 degrees.

Q4: Why are both radians and degrees shown?
A: Radians are the mathematical standard, while degrees are more commonly used in construction and everyday applications.

Q5: Can this be used for negative slopes?
A: The calculator only accepts positive values, as negative pitch would represent the same angle magnitude but in the opposite direction.