Degrees to Percent Slope Calculator
Convert angle measurements in degrees to percent slope (also called grade or gradient). Enter an angle and get the slope percentage instantly.
Degrees to Percent Slope Calculator
Result
Percent Slope
100.00%
Formula:
Percent Slope = tan(45.00° × π/180) × 100
Percent Slope = tan(0.7854) × 100
Percent Slope = 1.0000 × 100
Percent Slope = 100.00%
Percent Slope = tan(45.00° × π/180) × 100
Percent Slope = tan(0.7854) × 100
Percent Slope = 1.0000 × 100
Percent Slope = 100.00%
What this means: A 45.00° angle creates a slope where for every 100 units of horizontal distance, the vertical rise is 100.00 units.
How to Convert Degrees to Percent Slope
The conversion from degrees to percent slope uses the tangent function:
- Convert the angle from degrees to radians: radians = degrees × π/180
- Calculate the tangent: tan(radians)
- Multiply by 100 to get the percentage: percent slope = tan(radians) × 100
Example: For a 45° angle:
- Radians = 45 × π/180 = 0.7854
- tan(0.7854) = 1.0
- Percent slope = 1.0 × 100 = 100%
Frequently Asked Questions
How do you convert degrees to percent slope?
Use the formula: Percent Slope = tan(degrees × π/180) × 100. For example, a 45° angle equals 100% slope.
What is a 1% slope in degrees?
A 1% slope equals approximately 0.57 degrees.
What is a 45 degree slope in percent?
A 45 degree slope equals exactly 100% slope (grade).
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