Skip to content

Slope to Degrees Calculator

  • by

Slope to Degrees Calculator

Enter any 1 value to calculate the required value

Input either the slope (rise/run) or angle in degrees, and this calculator will compute the missing value using trigonometric functions.

The Slope to Degrees Calculator allows you to convert a given slope ratio into an angle in degrees, or vice versa. This tool is widely used in construction, geometry, and engineering to determine the angle of inclination or steepness.

Formula

  1. Degrees Calculation:

    Degrees=arctan(Slope)×(180π)\text{Degrees} = \arctan(\text{Slope}) \times \left(\frac{180}{\pi}\right)
  2. Slope Calculation:

    Slope=tan(Degrees×π180)\text{Slope} = \tan\left(\text{Degrees} \times \frac{\pi}{180}\right)
Variable Description Example Value
Slope Ratio of rise to run 0.5774
Degrees Angle corresponding to the slope 30°

Solved Calculations

Example 1:
Convert slope to degrees:

  • Slope: 0.5774
Input Value
Slope 0.5774
Formula Degrees=arctan(Slope)×180π\text{Degrees} = \arctan(\text{Slope}) \times \frac{18
Calculation arctan(0.5774)×57.2958=30°\arctan(0.5774) \times 57
Result 30°

Example 2:
Convert degrees to slope:

  • Degrees: 30°
Input Value
Degrees 30°
Formula Slope=tan(Degrees×π180)\text{Slope} = \tan\left(\text{Degrees} \times \frac{\pi}{180}\
Calculation tan(30°×0.0174533)=0.5774\tan(30° \times 0.0174
Result 0.5774
 

Leave a Reply

Your email address will not be published. Required fields are marked *