Angles & Geometry calculator
Rise to Percentage Grade Converter
Convert degrees (deg) to percent grade (grade) with the exact angle formula, worked examples, and a common-values table.
Exact conversion
Degrees to percent grade formula
grade = tan((deg in degrees) × π ÷ 180) × 100
1 deg equals 1.74550649 grade. 10 deg equals 17.6326981 grade.
About these units
- deg
- Degrees, the most common angle unit.
- grade
- Percentage grade, often used for slopes and ramps.
Common deg to grade values
| deg | grade |
|---|---|
| 1 deg | 1.74550649 grade |
| 5 deg | 8.74886635 grade |
| 10 deg | 17.6326981 grade |
| 25 deg | 46.6307658 grade |
| 50 deg | 119.175359 grade |
Formula
Degrees to percent grade formula
grade = tan((deg in degrees) × π ÷ 180) × 100
1 deg equals 1.74550649 grade. 10 deg equals 17.6326981 grade.
FAQs
How do I convert degrees to percent grade?+
Use this formula: grade = tan((deg in degrees) × π ÷ 180) × 100. Enter the deg value and the calculator applies the relationship immediately.
How many grade are in 1 deg?+
1 deg equals 1.74550649 grade.
What is 10 deg in grade?+
10 deg equals 17.6326981 grade. The displayed result may be rounded, while the calculator keeps full precision internally.
Can I convert percent grade back to degrees?+
Yes. Use Swap in the converter to reverse the units and calculate grade to deg.
How does the Rise to Percentage Grade Converter calculate the result?+
It uses the Degrees to percent grade formula: grade = tan((deg in degrees) × π ÷ 180) × 100. 1 deg equals 1.74550649 grade. 10 deg equals 17.6326981 grade.
What information do I need to use the Rise to Percentage Grade Converter?+
Convert degrees (deg) to percent grade (grade) with the exact angle formula, worked examples, and a common-values table.
Angles & Geometry guide
How to use the Rise to Percentage Grade Converter
Convert degrees (deg) to percent grade (grade) with the exact angle formula, worked examples, and a common-values table. The page also explains the degrees to percent grade formula and shows a practical example: 1 deg equals 1.74550649 grade. 10 deg equals 17.6326981 grade.
- 1
Enter your details
Enter the source value, then choose the units or values you want to convert.
- 2
Check the calculation
Review the result alongside the degrees to percent grade formula: grade = tan((deg in degrees) × π ÷ 180) × 100.
- 3
Compare scenarios
Change one or more inputs to see how they affect the rise to Percentage Grade Converter result before you use the estimate.
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