Calculate the slope of a line as a percentage or permille using rise and run, with automatic slope angle calculation.
Select units and output type as needed.
This calculator helps you compute the slope of a line as a percentage (%) or permille (‰) using the rise and run method. It also automatically calculates the slope angle in degrees, radians, gradians, or π radians based on your selected unit.
Input the vertical and horizontal distances:
You can also select the unit for each input (meters, feet, inches, etc.), and the calculator converts them automatically.
The calculator performs:
Step-by-step calculations are displayed so you can understand how the slope was derived.
The calculator ensures accurate results:
This ensures the calculator is safe and beginner-friendly.
The slope result appears instantly:
1. Enter the rise (vertical distance) and run (horizontal distance) of your line.
2. The calculator converts the units to meters automatically using predefined conversion factors.
3. It calculates the slope percentage: (Rise ÷ Run) × 100.
4. If permille is selected, the percentage is multiplied by 10.
5. The slope angle is computed using: angle = arctangent(Rise ÷ Run) and converted to the selected angle unit.
6. Step-by-step calculations, slope value, and angle are displayed instantly.
7. If invalid inputs are entered, a clear error message is shown.
This allows students, engineers, or DIY enthusiasts to quickly and accurately compute slope percentages and angles visually.
Suppose a ramp has:
Rise = 3 m, Run = 12 m
The calculator computes:
Slope (%) = (3 ÷ 12) × 100 = 25%
Slope angle (degrees) = arctan(3 ÷ 12) ≈ 14.04°
Step-by-step: 3 ÷ 12 = 0.25 × 100 = 25%
All results update instantly when you change rise, run, or units, giving immediate visual feedback.
Everything you need to know about calculating slope percentage, permille, and slope angles accurately.
This calculator computes the slope of a line using rise and run values. It shows the slope as a percentage or permille and calculates the slope angle automatically in degrees, radians, gradians, or π radians.
Yes! You can use it completely free with no registration or hidden charges.
Enter the rise (vertical distance) and run (horizontal distance). You can also select units for each input and choose the slope output type (percent or permille) and angle units.
Yes. The calculator supports metric and imperial units, including mm, cm, m, km, in, ft, yd, and mi, and converts them automatically for accurate slope calculation.
If run is zero or negative values are entered, the calculator will display an error message and no result. Make sure to enter valid positive distances.
The slope percentage is calculated using the formula: (Rise ÷ Run) × 100. If permille output is selected, the result is multiplied by 10. The slope angle is derived from the arctangent of rise/run.
Yes. Use the “Clear All” button to reset inputs or the “Reload Calculator” button to reload the page completely.
Yes, the calculator is fully responsive and works smoothly on smartphones, tablets, laptops, and desktops.
Results are rounded to two decimal places for easy reading. Both slope percentages and slope angles are calculated with high accuracy.
Students, engineers, architects, surveyors, and anyone needing slope or gradient calculations can use this tool for quick, precise, and reliable results.
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