PITCH CONVERSION UTILITY
Roof Pitch to Degrees Converter & Conversion Chart
Convert any standard roof pitch ratio ($X/12$) to its exact geometric angle in degrees ($^circ$), slope percentage, and pitch multiplier instantly.
Roof Pitch to Degrees Converter
Instant conversion from standard pitch notation (X/12) to angle in degrees.
/ 12
Enter the rise per 12 inches of run (e.g. 4 for 4/12 pitch).
How to Convert Roof Pitch to Degrees (Formula)
Roof pitch is converted to degrees using the inverse tangent (arctangent) trigonometric function:
$$text{Angle (Degrees)} = arctanleft(frac{text{Rise}}{12}right) times left(frac{180}{pi}right)$$
To convert in reverse from degrees to pitch ratio:
$$text{Pitch } X = 12 times tanleft(text{Degrees} times frac{pi}{180}right)$$
Quick Pitch to Degrees Lookup Table
| Pitch Ratio | Angle in Degrees | Slope Grade % | Pitch Multiplier |
|---|---|---|---|
| 2/12 | $9.46^circ$ | 16.67% | 1.014 |
| 3/12 | $14.04^circ$ | 25.00% | 1.031 |
| 4/12 | $18.43^circ$ | 33.33% | 1.054 |
| 5/12 | $22.62^circ$ | 41.67% | 1.083 |
| 6/12 | $26.57^circ$ | 50.00% | 1.118 |
| 7/12 | $30.26^circ$ | 58.33% | 1.158 |
| 8/12 | $33.69^circ$ | 66.67% | 1.202 |
| 9/12 | $36.87^circ$ | 75.00% | 1.250 |
| 10/12 | $39.81^circ$ | 83.33% | 1.302 |
| 12/12 | $45.00^circ$ | 100.00% | 1.414 |
Related Tools & Guides
- Roof Pitch Calculator — Full visual diagram and rafter length breakdown.
- Roof Pitch Chart — Full 1/12 to 24/12 conversion table.
- How to Calculate Roof Pitch — Practical rafter measurement methods.