###### Asked in ScienceIndustrial Engineering

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Industrial Engineering

# How do you convert degree of rotation into mm?

## Answer

###### Wiki User

###### October 09, 2008 3:37PM

Degrees of rotation does not convert directly to millimeters so the question in its current form has no answer. However, if the question is, "Given a known radius measured in millimeters and given a known angle in radians how do you find the length of the arc formed?" then the answer is:

s = rθ

Where

s = the length of the arc

r = the radius in question

θ = the known angle

Example

radius = 20mm

θ = 0.52 radians (30 degrees)

s = (20)*(0.52) = 10.47mm

If your θ is in degrees then the formula s = rθ will look like this:

s = rθ*pi/180

## Related Questions

###### Asked in Length and Distance

### How do you convert mm to centimeters to m?

To convert mm to cm: Divide the given length in mm by 10.
Example:
Convert 123 mm to cm:
= 123 mm * 1cm/10 mm
= 123 cm/10
= 12.3 cm
To convert cm to m: Divide the given length in cm by 100.
Example:
Convert 123 cm to m:
= 123 cm * 1m/100 cm
= 123 m/100
= 1.23 m
To convert mm to m: Divide the given length in mm by 1000.
Example:
Convert 123 mm to m:
= 123 mm * 1cm/10 mm * 1m/100 cm
= 123 m/1000
= 0.123 m