Degrees To MM Calculator

Degrees To MM Calculator

To convert Degrees to Millimeters (MM), input angle in degrees and the radius in millimeters. The calculator uses the arc length formula to compute length in millimeters along the curved path.

Degrees To MM Example Chart

Degrees (°)Length (mm)Degrees (°)Length (mm)
11.755595.11
58.7360100.00
1017.4565104.78
1526.1870109.43
2034.9375113.96
2543.6580118.35
3052.3685122.60
3561.0490126.70
4069.6895130.64
4578.29100134.41
5086.85

How to Convert Degrees To MM?

To convert degrees to millimeters, multiply radius in millimeters by angle in radians (degrees converted to radians by multiplying by π/180).

This calculation determines length of an arc segment based on its central angle and the radius of the circle. The result represents the actual curved distance in millimeters along the specified angle.

Formula for Degrees To MM Conversion

Basic Arc Length Formula:

Arc Length (mm) = Radius × (Degrees × π/180)

Where:

Radius = Distance from center point to arc in millimeters
Degrees = Angle measurement in degrees
Ï€ = Mathematical constant Pi (approximately 3.14159)

Radian Conversion:

Radians = Degrees × (π/180)

Where:

Degrees = Angle measurement in degrees
Ï€ = Mathematical constant Pi

Example 1: Small Angle

  • Radius = 100 mm
  • Degrees = 45°
  • Arc Length = 100 × (45 × Ï€/180)
  • Result = 78.54 mm

Example 2: Right Angle

  • Radius = 50 mm
  • Degrees = 90°
  • Arc Length = 50 × (90 × Ï€/180)
  • Result = 78.54 mm

Example 3: Full Circle

  • Radius = 25 mm
  • Degrees = 360°
  • Arc Length = 25 × (360 × Ï€/180)
  • Result = 157.08 mm

Example 4: Small Radius

  • Radius = 10 mm
  • Degrees = 30°
  • Arc Length = 10 × (30 × Ï€/180)
  • Result = 5.24 mm

Example 5: Large Radius

  • Radius = 200 mm
  • Degrees = 60°
  • Arc Length = 200 × (60 × Ï€/180)
  • Result = 209.44 mm

What is Degrees and MM?

Degrees is a unit of angular measurement representing 1/360th of a full circle rotation, while Millimeters (MM) is a metric unit of length equal to 1/1000th of a meter, commonly used to measure linear distances and arc lengths along curved paths.

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