Slope and Gradient Calculator
Calculate slope or gradient in percent and degrees. For roads, roofs and ramps. Online calculator with solution path and worked examples.
Result
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Formulas
Slope (%) = (Height difference / Horizontal distance) × 100
Slope (°) = arctan(Height difference / Horizontal distance)
Note: These calculations are for informational purposes only and do not replace professional tax or financial advice. All information without guarantee.
Frequently Asked Questions
How is slope percentage calculated?
Slope percentage equals (vertical rise / horizontal distance) times 100. A 10% slope means 10 meters of rise over 100 meters of horizontal distance.
How do I convert between degrees and percent slope?
Percent equals tangent of angle in degrees times 100. Degrees equals arctangent of percent divided by 100. A 45-degree angle equals 100% slope; a 100% slope does not mean vertical.
What is the Slope and Gradient Calculator?
The gradient calculator computes the slope in percent, degrees and ratio from the height difference and horizontal distance.
How does the Slope and Gradient Calculator work?
Enter the height difference and horizontal distance. Slope in % = (height / distance) * 100. The calculator also shows the angle in degrees and the ratio (e.g. 1:10).
Key Data and Facts
Slope % = (height difference / horizontal distance) * 100. 100% slope = 45 degrees. Road construction max. approx. 12%. Roof pitch: 15-45 degrees typical.
Step-by-Step Guide
How to calculate Steigung und Gefaelle step by step: 1. Hoehendifferenz und Horizontalstrecke messen: Die Hoehendifferenz ist der senkrechte Abstand zwischen Start- und Endpunkt. Die Horizontalstrecke ist die waagerechte Entfernung (nicht die Schraege). 2. Steigung in Prozent: Steigung (%) = (Hoehendifferenz / Horizontalstrecke) x 100. 3. Steigung in Grad: Winkel = arctan(Hoehendifferenz / Horizontalstrecke). Umrechnung: 100 % Steigung = 45 Grad. 10 % ≈ 5,7 Grad. 4. Verhaeltnis: Steigung 10 % = Verhaeltnis 1:10 (1 m Hoehe auf 10 m Strecke). 5. Anwendungen: Strassenbau: Maximale Steigung Autobahn ca. 6 %, Landstrasse ca. 12 %. Rollstuhlrampe: max. 6 % (DIN 18040). Dachneigung: Flachdach 2-5 Grad, Steildach 35-45 Grad. Abwasserrohr: min. 1-2 % Gefaelle. 6. Schraege Strecke (Steigungslaenge): L = Wurzel(Hoehe2 + Strecke2).
Calculation Example
Rampe mit 0,5 m Hoehe und 8 m Laenge: Steigung = (0,5 / 8) x 100 = 6,25 %. Winkel = arctan(0,5/8) = 3,58 Grad. Verhaeltnis 1:16.
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