Convert mm to degrees using rise/run, from the arc on a circle, or for a wheel toe.

MM to Degree Calculator

Rise / Run
Arc on Circle
Wheel Toe

Use this when you know a straight-line offset and a reference distance.

Common distances
100 mm
500 mm
1000 mm
1500 mm
2000 mm

Use this when the millimeters are measured along the arc of a circle.

Common radii
10 mm
25 mm
50 mm
100 mm
200 mm

Use this for wheel alignment toe measured across a wheel diameter.

Toe amount is measured as
Total toe
One wheel
Direction
Toe-In
Toe-Out
Common wheel diameters
13 in
15 in
16 in
17 in
18 in
20 in

Fill any 2 fields to calculate the missing one.

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° = 4.3633 mm offset
5 mm offset = 0.2865°0.5° = 8.7267 mm offset
10 mm offset = 0.5729°1° = 17.4537 mm offset
20 mm offset = 1.1459°2° = 34.9103 mm offset
25 mm offset = 1.4321°5° = 87.3218 mm offset
50 mm offset = 2.8645°10° = 174.9774 mm offset
100 mm offset = 5.7250°15° = 263.3050 mm offset
150 mm offset = 8.5780°30° = 535.8984 mm offset
200 mm offset = 11.4190°45° = 828.4271 mm offset
Formulas (using consistent units): Degrees = 2 × atan(Offset ÷ (2 × Distance)) × (180/π). Offset = 2 × Distance × tan(Degrees × π/360). Table assumes Distance = 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

The following equation is used to calculate MM to Degrees.

D = ASIN(LD/CSW)
  • Where D is the degrees
  • LD is the linear deflection
  • CSW is the control surface width

To calculate degrees from mm, take the arcsine value of the linear deflection divide by the control surface 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)

D = ASIN(40/50)

D = 53.13 degrees