Rise Over Run to Degrees Calculator
Convert a rise and run to the angle in degrees.
Change the values and press Calculate to work out your own figures.
Enter the rise and the run.
Show the working
- slope = rise ÷ run; angle = arctan(slope); grade = slope × 100%
How to use it
Enter the rise and the run.
Enter coordinates as whole numbers, decimals or fractions (3/4). Show the working gives the formula with your numbers.
Key facts
θ = arctan(rise ÷ run)
45 degrees
A rise equal to the run is 45° and a 100% grade.
Questions
3 over 12 in degrees?
14.03624347°.
1 over 1?
45°.
Formulas
θ = arctan(rise ÷ run)
Sources
Limitations
- Vectors have two or three components (leave z blank for 2-D).
- Earth distances assume the WGS 84 ellipsoid (sea level).