Home
Back
Gradient to Degrees Formula:
| From: | To: |
The gradient to degrees conversion calculates the angle of inclination from a given gradient ratio (rise over run). This is commonly used in civil engineering, road construction, and slope analysis to convert slope percentages or ratios into angular measurements.
The calculator uses the mathematical formula:
Where:
Explanation: The arctangent function calculates the angle in radians from the gradient ratio, which is then converted to degrees for practical use.
Details: Converting gradients to degrees is essential for construction projects, road design, wheelchair ramp compliance, roof pitch determination, and any application where slope angles need precise measurement and specification.
Tips: Enter the gradient as a ratio (rise divided by run). For example, a 1:4 slope would be entered as 0.25, a 1:2 slope as 0.5, and a 1:1 slope as 1.0.
Q1: What's the difference between gradient and angle?
A: Gradient is a ratio (rise/run) while angle is measured in degrees. This calculator converts between the two measurement systems.
Q2: How do I convert percentage slope to gradient?
A: Divide the percentage by 100. For example, a 25% slope equals a gradient of 0.25 (25/100).
Q3: What is the maximum angle possible?
A: Theoretically, angles approach 90° as gradient approaches infinity. Practically, most slopes range from 0° to 45°.
Q4: When is this conversion most useful?
A: Essential for construction specifications, accessibility compliance (ramp angles), road design standards, and trigonometric calculations.
Q5: Are there limitations to this calculation?
A: The formula assumes a straight slope and may not account for curved surfaces or complex terrain variations.