Enter the angle, slope, rise, and run into the calculator to determine the missing variable.
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Angle to Slope Formula
The following formula is used to calculate the slope for a given angle.
S = tan(A) * 100
Variables:
- S is the slope in percentage
- A is the angle in degrees
To calculate the slope, take the tangent of the angle and multiply by 100 to convert it to a percentage.
| Angle (°) | Slope (%) |
|---|---|
| 0.5 | 0.87 |
| 1 | 1.75 |
| 1.5 | 2.62 |
| 2 | 3.49 |
| 3 | 5.24 |
| 4 | 6.99 |
| 5 | 8.75 |
| 6 | 10.51 |
| 7 | 12.28 |
| 8 | 14.05 |
| 9 | 15.84 |
| 10 | 17.63 |
| 12 | 21.26 |
| 15 | 26.79 |
| 20 | 36.40 |
| 25 | 46.63 |
| 30 | 57.74 |
| 35 | 70.02 |
| 40 | 83.91 |
| 45 | 100.00 |
| Formula: Slope (%) = tan(Angle in degrees) × 100. Example: tan(10°) × 100 ≈ 17.63%. | |
What is Angle to Slope?
The angle to slope conversion is a method used to determine the steepness or incline of a surface. The angle is measured in degrees, and the slope is expressed as a percentage. This conversion is commonly used in fields such as construction, engineering, and road design to ensure that surfaces are built to the correct specifications and safety standards. By knowing either the angle or the slope, you can calculate the other value, as well as the rise and run of the surface.
How to Calculate Angle to Slope?
The following steps outline how to calculate the Angle to Slope.
- First, determine the angle in degrees (A).
- Next, calculate the slope using the formula S = tan(A) * 100.
- Alternatively, if you have the rise and run, you can calculate the slope as S = (rise / run) * 100.
- Finally, calculate the missing variable using the appropriate formula.
- After inserting the values and calculating the result, check your answer with the calculator above.
Example Problem :
Use the following variables as an example problem to test your knowledge.
Angle (A) = 30 degrees
Run = 10 meters
Calculate the slope (S) and rise.