Convert length and angle using a known inches-per-degree calibration for your setup, or calculate the calibration from a known pair. There is no universal inches-to-degrees conversion.
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Alignment Inches To Degrees Formula
This calculator uses a simple proportional relationship. If you have defined (or measured) a conversion factor C for your specific setup (inches per degree), then the linear distance I and the angle D are related by:
Variables:
- I is the linear distance (inches)
- D is the angle (degrees)
- C is the conversion factor for your measurement method (in/ยฐ)
To calculate the length in inches, multiply the angle in degrees by the conversion factor. Conversely, to find the angle in degrees, divide the length in inches by the conversion factor. (If you are converting a true geometric offset measured over a baseline length L, a common relationship is D = arctan(I/L) ร 180/ฯ; in that case C is not a universal constant and depends on L.)
| Inches (in) | Degrees (ยฐ) |
|---|---|
| 1/16 | 0.006 |
| โ | 0.013 |
| 1/6 | 0.017 |
| ยผ | 0.025 |
| โ | 0.033 |
| โ | 0.038 |
| ยฝ | 0.050 |
| โ | 0.063 |
| โ | 0.067 |
| ยพ | 0.075 |
| โ | 0.088 |
| 1 | 0.100 |
| 1ยผ | 0.125 |
| 1โ | 0.133 |
| 1ยฝ | 0.150 |
| 1ยพ | 0.175 |
| 2 | 0.200 |
| 2ยฝ | 0.250 |
| 3 | 0.300 |
| 4 | 0.400 |
| *Illustrative factor only: enter 10 in/ยฐ explicitly to reproduce this table. Formula: degrees = inches รท 10. This is not a universal wheel-alignment constant. | |
What is Alignment Inches To Degrees?
โInches to degreesโ is a way to translate a linear offset (inches) into an angular change (degrees) when you either (a) have a defined proportional factor (inches per degree) for a particular method, or (b) you know the geometry (a baseline length) and use trigonometry. In automotive alignment, linear toe measurements (inches or mm) and toe angles (degrees) are related by the wheel/tire measurement geometry, so the conversion depends on where and how the distance is measured.
How to Calculate Alignment Inches To Degrees?
The following steps outline how to calculate the alignment inches to degrees using a defined conversion factor.
- First, select the value to solve for: angle, length, or calibration factor.
- Enter the known length or angle using its matching unit control.
- Enter the known conversion factor (C) in inches per degree, or both length and angle when solving for the factor.
- Select Calculate to solve using I = D ร C, D = I / C, or C = I / D.
- After inserting the values and calculating the result, check your answer with the calculator above.
Example Problem :
Example (select Length under Solve for):
Angle in degrees (D) = 2
Conversion factor (C) = 5 in/ยฐ
Calculated length in inches (I) = D ร C = 2 ร 5 = 10 in
