Degrees To MM Calculator – Convert Degrees to Millimeters

Degrees to MM Calculator

Enter the angle in degrees (e.g., 30°)
Enter the radius in millimeters (e.g., 100 mm)

1 degree = 0.873 mm, our degrees to mm calculator is designed using Arc Length (mm) = Radius (mm) × Angle (in degrees) × (180 / π) conversion formula.

  • 0.1 degree = 0.0873 mm
  • 0.5 degree = 0.4365 mm

Let’s say we have a circular object with a diameter of 100 mm, and we want to find the arc length corresponding to a 30-degree angle.

  1. Diameter = 100 mm
  2. Angle = 30 degrees

Using the formula:

Arc Length = (π × Diameter × Angle) / 360°
Arc Length = (π × 100 × 30) / 360 ≈ 26.18 mm

Degrees to Millimeters Conversion Chart

Degrees Converted toArc Length (mm)
0.87 mm
1.75 mm
2.62 mm
3.49 mm
4.36 mm
5.24 mm
6.11 mm
6.98 mm
7.85 mm
10°8.73 mm
11°9.60 mm
12°10.47 mm
13°11.35 mm
14°12.22 mm
15°13.09 mm
16°13.97 mm
17°14.84 mm
18°15.71 mm
19°16.58 mm
20°17.46 mm
21°18.33 mm
22°19.20 mm
23°20.08 mm
24°20.95 mm
25°21.82 mm
26°22.69 mm
27°23.57 mm
28°24.44 mm
29°25.31 mm
30°26.18 mm
31°27.06 mm
32°27.93 mm
33°28.80 mm
34°29.67 mm
35°30.55 mm
36°31.42 mm
37°32.29 mm
38°33.17 mm
39°34.04 mm
40°34.91 mm
41°35.79 mm
42°36.66 mm
43°37.53 mm
44°38.40 mm
45°39.27 mm
46°40.15 mm
47°41.02 mm
48°41.89 mm
49°42.76 mm
50°43.64 mm
51°44.51 mm
52°45.38 mm
53°46.26 mm
54°47.13 mm
55°48.00 mm
56°48.87 mm
57°49.75 mm
58°50.62 mm
59°51.49 mm
60°52.36 mm
61°53.24 mm
62°54.11 mm
63°54.98 mm
64°55.86 mm
65°56.73 mm
66°57.60 mm
67°58.47 mm
68°59.35 mm
69°60.22 mm
70°61.09 mm
71°61.96 mm
72°62.84 mm
73°63.71 mm
74°64.58 mm
75°65.45 mm
76°66.33 mm
77°67.20 mm
78°68.07 mm
79°68.94 mm
80°69.82 mm
81°70.69 mm
82°71.56 mm
83°72.43 mm
84°73.31 mm
85°74.18 mm
86°75.05 mm
87°75.93 mm
88°76.80 mm
89°77.67 mm
90°78.54 mm
91°79.42 mm
92°80.29 mm
93°81.16 mm
94°82.03 mm
95°82.91 mm
96°83.78 mm
97°84.65 mm
98°85.52 mm
99°86.40 mm
100°87.27 mm

Degrees To MM Formula

The formula to convert degrees to millimeters for an arc length is:

Arc Length (mm) = (π × Diameter × Angle in degrees) / 360°

Where:

  • π (pi) is approximately 3.14159
  • Diameter is the length across the center of the circle
  • Angle is measured in degrees

Let’s calculate the arc length for a 75-degree angle on a circle with a diameter of 200 mm.

Diameter = 200 mm

Angle = 75 degrees

Arc Length = (π × 200 × 75) / 360
≈ (3.14159 × 200 × 75) / 360
47123.85 / 360
130.9 mm

A 75-degree arc on a circle with a 200 mm diameter measures approximately 130.9 mm in length.

How to convert degrees to mil?

To convert degrees to mils, we first convert to millimeters and then to mils.

  1. Calculate the arc length in millimeters using the formula above.
  2. Convert millimeters to mils: 1 mm = 39.3701 mils

Let’s convert a 60-degree arc on a 5-inch diameter circle to mils.

Convert 5 inches to mm: 5 × 25.4 = 127 mm (diameter)

Calculate arc length in mm: (π × 127 × 60) / 360 ≈ 66.5 mm

Convert mm to mils: 66.5 × 39.3701 ≈ 2618.11 mils

A 60-degree arc on a 5-inch diameter circle is approximately 2618.11 mils long.

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