# Grade Percentage to Angle in Degrees

Convert a slope percentage to an angle in degrees using the arctangent function.

**Formula = atan (percentage ÷ 100)**

### Example calculation

42% slope to degreesatan (42 ÷ 100) = atan (0.42) = 22.9°

**A 42% slope equals 22.9 degrees.**

### Slope Percentage to an Angle in Degrees

#### Calculation

- slope percentage
- number of digits in result

#### Result

- angle in radians
- angle in degrees

### Excavation Calculators

##### Imperial

Number of TruckloadsFuel Consumption for Operating a Machine

Shrink and Load Factor

Spike's Compaction Factor

Swell and Load Factor

Swell and Shrinkage of Excavated Materials

Calculate the Volume of a Pile in Cubic Yards

Calculate the Volume of a Pile in Cubic Yards - Cone Shaped

##### Metric

Number of Truckloads (Metric Measurements)Calculate the Volume of a Pile in Cubic Metres

Calculate the Volume of a Pile in Cubic Metres - Cone Shaped

##### Information

Bulking/Swell Factors for Various Excavated/Mined Materials##### New

- Elevation Grade from a Percentage
- Elevation Grade from Inches per Foot
- Elevation Grade Slope in a Percentage, Millimetres
- Horizontal Length from Angle and Slope Length
- Grade Percentage to Angle in Degrees
- Vertical Depth from a Slope Percentage and Horizontal Length
- Amount of Material from a Rectangle Shaped Excavation