Convert slope between inches of vertical rise per horizontal foot and degrees, with percent grade, pitch notation, ratio, and support for rising or falling slopes.
Inches Per Foot to Degrees Formula
The following formula is used to convert inches per foot to degrees:
Formula source: Humboldt State University โ โCalculating Slopeโ (Geomatics Lesson)
Variables:
- inchesPerFoot is the slope in inches for every foot of horizontal distance.
- degrees is the angle of the slope in degrees.
To convert inches per foot to degrees, take the arctangent of the slope divided by 12 (the number of inches in a foot), then convert the result from radians to degrees by multiplying by 180/ฯ.
| Inches per Foot (in/ft) | Degrees (ยฐ) |
|---|---|
| 1/16 | 0.298 |
| โ | 0.597 |
| 3/16 | 0.895 |
| ยผ | 1.194 |
| 5/16 | 1.492 |
| โ | 1.790 |
| ยฝ | 2.386 |
| โ | 2.981 |
| ยพ | 3.576 |
| โ | 4.170 |
| 1 | 4.764 |
| 1ยผ | 5.948 |
| 1ยฝ | 7.125 |
| 2 | 9.462 |
| 3 | 14.036 |
| 4 | 18.435 |
| 6 | 26.565 |
| 8 | 33.690 |
| 10 | 39.806 |
| 12 | 45.000 |
| * Rounded to 3 decimals. Formula: ฮธ = arctan((in/ft) รท 12). Example: 1 in/ft โ 4.764ยฐ. | |
What is Inches Per Foot to Degrees Conversion?
Inches per foot to degrees conversion is a way to express the steepness of a slope as an angle. It is commonly used in construction, engineering, and other fields where precise slope measurements are required. This conversion is particularly useful when you need to communicate slope information in terms that are more universally understood, such as degrees, rather than a ratio of inches per foot.
How to Calculate Degrees from Inches Per Foot?
The following steps outline how to convert inches per foot to degrees:
- First, measure the slope of the surface in inches per foot.
- Next, use the formula: degrees = atan(inchesPerFoot / 12) * (180 / ฯ).
- Finally, calculate the angle in degrees.
- Use the calculator above to check your result.
Example Problem:
Use the following variables as an example problem to test your knowledge.
Slope of the surface (inches per foot) = 6 inches per foot
Using the formula, the degrees of the slope would be calculated as follows:
degrees = atan(6 / 12) * (180 / ฯ) โ 26.57 degrees
