Calculate degrees from millimeter offsets, arc lengths, or wheel toe measurements with unit options for rise/run, circles, and alignment.

Offset is perpendicular to a positive run; angle is between −90° and 90°.

Toe calculations convert a stated measurement; use vehicle-specific alignment specifications. No recommended alignment setting is inferred.

Offset ↔ Degrees Conversion Table (Distance = 1000 mm)
Offset to Degrees Degrees to Offset
1 mm offset = 0.0573°0.1° = 1.7453 mm offset
2 mm offset = 0.1146°0.25° = 4.3634 mm offset
5 mm offset = 0.2865°0.5° = 8.7269 mm offset
10 mm offset = 0.5729°1° = 17.4551 mm offset
20 mm offset = 1.1458°2° = 34.9208 mm offset
25 mm offset = 1.4321°5° = 87.4887 mm offset
50 mm offset = 2.8624°10° = 176.3270 mm offset
100 mm offset = 5.7106°15° = 267.9492 mm offset
150 mm offset = 8.5308°30° = 577.3503 mm offset
200 mm offset = 11.3099°45° = 1000.0000 mm offset
Rise/run formulas (using consistent units): Degrees = atan(Offset ÷ Distance) × (180/π). Offset = Distance × tan(Degrees × π/180). Table assumes a positive horizontal run of 1000 mm.
Arc Length ↔ Degrees Conversion Table (Radius = 100 mm)
Degrees to Arc Length Arc Length to Degrees
5° = 8.7266 mm arc length10 mm arc length = 5.7296°
10° = 17.4533 mm arc length25 mm arc length = 14.3239°
15° = 26.1799 mm arc length50 mm arc length = 28.6479°
22.5° = 39.2699 mm arc length75 mm arc length = 42.9718°
30° = 52.3599 mm arc length100 mm arc length = 57.2958°
45° = 78.5398 mm arc length150 mm arc length = 85.9437°
60° = 104.7198 mm arc length200 mm arc length = 114.5916°
90° = 157.0796 mm arc length250 mm arc length = 143.2394°
120° = 209.4395 mm arc length300 mm arc length = 171.8873°
180° = 314.1593 mm arc length500 mm arc length = 286.4789°
Formulas: Arc Length = Radius × (Degrees × π/180) and Degrees = (Arc Length ÷ Radius) × (180/π). Table assumes Radius = 100 mm.

mm to Degree Formula

For a hinged control surface, use the following equation. Rise/run uses atan(offset/run), arc length uses arc/radius in radians, and wheel toe uses its labelled symmetric geometry; these measurements are not interchangeable.

D = asin(LD / CSW) × 180 / π
  • Where D is the degrees
  • LD is the linear deflection
  • CSW is the hinge-to-measurement-point control surface width

Measure deflection perpendicular to the neutral control surface. Divide it by the hinge-to-measurement-point width, take arcsine, and convert radians to degrees. The deflection magnitude cannot exceed the width.

What is mm to Degree?

Definition:

mm is a unit of distance, and degrees are a unit for angles, so in order to convert between the two, two different dimensions in millimeters must be known.

How to Calculate mm to Degree?

Example Problem:

The following example outlines the steps and information needed to calculate mm to Degree.

First, determine the total linear deflection. In this example, the linear deflection is found to be 40mm.

Next, determine the control surface width. In this case, this is measured to be 50mm.

Finally, calculate the degrees using the formula above:

D = asin(LD/CSW) × 180/π

D = asin(40/50) × 180/π

D = 53.13 degrees