Millimeter (mm) to Degree Conversion Calculator
The mm to degree converter transforms measurements in millimeters to angular measurements in degrees using Degrees = (Arc Length in mm × 180°) / (π × Radius in mm) formula.
MM to Degree Conversion Table
| Arc Length (mm) | Radius (mm) | Calculated Degrees |
|---|---|---|
| 1 | 50 | 1.15° |
| 5 | 50 | 5.73° |
| 10 | 25 | 22.92° |
| 15 | 30 | 28.65° |
| 20 | 40 | 28.65° |
| 25 | 40 | 35.84° |
| 30 | 60 | 28.65° |
| 40 | 45 | 63.66° |
| 50 | 45 | 63.66° |
| 75 | 40 | 107.43° |
| 100 | 60 | 95.49° |
| 120 | 80 | 86.18° |
| 150 | 100 | 86.18° |
| 157 | 100 | 90.00° |
| 200 | 100 | 114.59° |
| 250 | 120 | 118.93° |
| 300 | 150 | 114.59° |
MM to Degree Conversion Formula
The formula for converting millimeters to degrees relies using arc length and radius is:
Degrees = (Arc Length in mm × 180°) / (π × Radius in mm)This formula is derived from the basic principles of circular geometry where:
- Full circle = 360 degrees
- Circumference = 2 × π × radius
If you have an arc length of 50 mm on a circle with a radius of 30 mm:
Degrees = (50 mm × 180°) / (π × 30 mm)
Degrees = 9000 / (3.14159 × 30)
Degrees ≈ 95.49°How to Convert MM to Degree?
The conversion process follows these steps:
- Measure the Arc Length (in millimeters)
- Determine the Radius of the circle (in millimeters)
- Apply the Formula:
- Multiply arc length by 180°
- Multiply π (3.14159) by radius
- Divide the first result by the second
For an arc length of 75 mm on a circle with a radius of 40 mm:
Degrees = (75 × 180°) / (3.14159 × 40)
Degrees = 13500 / 125.6636
Degrees ≈ 107.43°What is 1 mm in degrees alignment?
For a circle with a radius of 50 mm:
Degrees for 1 mm = (1 mm × 180°) / (π × 50 mm)
Degrees = 180° / (3.14159 × 50)
Degrees ≈ 1.15°References
- National Institute of Standards and Technology (NIST) https://www.nist.gov/pml/weights-and-measures/si-units-length
- American Society of Mechanical Engineers (ASME) https://www.asme.org/codes-standards/publications-information
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