Survey Engineering

Slope Gradient Unit Converter

Converts between slope representations: ratio (1:n), percentage (%), degrees (°), and millimeters per meter (mm/m).

Quick Answer

The slope gradient unit converter computes slope angle, slope gradient, slope grade from the input values you provide.

Calculator

Slope angle (degree)
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Slope gradient (dimensionless)
—
Slope grade (%)
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Result Interpretation

The result shows Slope angle in degree and Slope gradient in dimensionless and Slope grade in %, computed directly from the entered inputs using the formula defined for this tool.

Worked Example

Verified calculation

Given:

  • input_gradient = 0.5

Expected Result:

  • output_angle_deg = 26.5651
  • output_gradient = 0.5
  • output_grade_pct = 50

The actual numerical result is computed by the Runtime engine using the persisted tool definition. The values shown here come from verified test cases.

Formula / Method

slope gradient = tan(slope angle * 0.0174532925); slope grade = slope gradient * 100; result = slope grade / 100; slope angle = atan(slope gradient) * 57.2957795131; result = slope angle; result = slope gradient; result = slope grade

Slope angle; Slope gradient; Slope grade.

Variables

SymbolLabelRoleDescription
input_angle_deg Slope angle INPUT Slope angle
input_gradient Slope gradient INPUT Slope gradient
input_grade_pct Slope grade INPUT Slope grade
output_angle_deg Slope angle OUTPUT Slope angle
output_gradient Slope gradient OUTPUT Slope gradient
output_grade_pct Slope grade OUTPUT Slope grade

Calculation Steps

  1. Enter the slope angle in degree.
  2. Enter the slope gradient in dimensionless.
  3. Enter the slope grade in %.
  4. Step 1: Compute slope angle.
  5. Step 2: Compute slope gradient.
  6. Step 3: Compute slope grade.
  7. Step 4: Compute slope grade.
  8. Step 5: Compute slope grade.
  9. Step 6: Compute slope grade.
  10. Step 7: Compute slope grade.
  11. Read the slope angle (degree) from the results.
  12. Read the slope gradient (dimensionless) from the results.
  13. Read the slope grade (%) from the results.

Frequently Asked Questions

What does this calculator calculate?

The Slope Gradient Unit Converter estimates Slope angle, Slope gradient, Slope grade based on the input parameters you provide

What units should I use for the inputs?

Enter each value in the units shown next to the input field: Slope angle (degree), Slope gradient (dimensionless), Slope grade (%). Make sure all inputs use the specified units for consistent results

How does Slope angle affect the results?

The slope angle directly affects: Slope gradient. Increasing or decreasing this value will change these output values according to the engineering formula

How should I interpret the calculated results?

The calculator provides the following outputs: slope angle in degree; slope gradient in dimensionless; slope grade in %. Results are computed from the input values using the defined calculation method. Always verify results against project-specific requirements and applicable standards

What assumptions does this calculator use?

This calculator uses verified engineering formulas. Results are approximate and should be validated against site-specific conditions, applicable codes, and professional engineering judgment

When is this calculation useful?

The Slope Gradient Unit Converter is useful during preliminary design, feasibility studies, and quick engineering checks in slope projects. It helps engineers and designers estimate key parameters before proceeding with detailed analysis

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