Rise Over Run to Degrees Calculator
Convert rise and run to degrees, slope percentage, and radians. Calculate the angle of a slope using vertical rise and horizontal run for construction, roofing, and geometry.
Step 1: Rise & Run Input
Understanding Rise & Run
Rise is the vertical distance, run is the horizontal distance. The slope angle θ = arctan(rise/run). For example, a 6 inch rise over 12 inch run gives a 26.6° angle (common roof pitch).
Step 2: Output Options
About Angle Units
Degrees: most common (0-90). Radians: mathematical unit (0-π/2). Gradians: metric angle (0-100). Slope percentage = (rise/run)×100%.
Slope Angle Results
Calculated Angle
Common Roof Pitches & Slope Angles
| Pitch (Rise:Run) | Angle (degrees) | Slope % | Radians |
|---|
Angle Comparison for Different Ratios
Formula
θ = arctan(rise / run)
Convert rise and run to the same unit, then take the arctangent of the ratio. Multiply by (180/π) for degrees. Slope percentage = (rise/run) × 100%.
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