Enter a length and an angle (and, if needed, a conversion factor in inches per degree) into the calculator to determine the missing variable. Note: in real wheel-alignment/toe situations, the inches-to-degrees relationship depends on the measurement geometry (where the offset is measured), so use a conversion factor that matches your specific setup.
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:
I = D * C
Variables:
- I is the linear distance (inches)
- D is the angle (degrees)
- C is the conversion factor for your measurement method (in/°)
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) × 180/π; in that case C is not a universal constant and depends on L.)
| Inches (in) | Degrees (°) |
|---|---|
| 1/16 | 0.006 |
| ⅛ | 0.013 |
| 1/6 | 0.017 |
| ¼ | 0.025 |
| ⅓ | 0.033 |
| ⅜ | 0.038 |
| ½ | 0.050 |
| ⅝ | 0.063 |
| ⅔ | 0.067 |
| ¾ | 0.075 |
| ⅞ | 0.088 |
| 1 | 0.100 |
| 1¼ | 0.125 |
| 1⅓ | 0.133 |
| 1½ | 0.150 |
| 1¾ | 0.175 |
| 2 | 0.200 |
| 2½ | 0.250 |
| 3 | 0.300 |
| 4 | 0.400 |
| *Default example factor used by the calculator’s “Default Example” tab: 1° = 10 inches (therefore 1 in = 0.1°). Formula: degrees = inches ÷ 10. This is a user-chosen proportional factor for a specific setup, not a universal wheel-alignment constant. | |
What is Alignment Inches To Degrees?
“Inches to degrees” 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, determine the length in inches (I).
- Next, determine the angle in degrees (D).
- Next, determine the conversion factor (C) in inches per degree for your setup.
- Finally, calculate the missing variable using the formula I = D * C or D = I / C.
- After inserting the values and calculating the result, check your answer with the calculator above.
Example Problem :
Example (use the Custom Conversion tab):
Angle in degrees (D) = 2
Conversion factor (C) = 5 in/°
Calculated length in inches (I) = D × C = 2 × 5 = 10 in