Angle

Arcminutes to Degrees Converter

Convert arcminutes (′) to degrees (°). 1 arcminute = 0.01666666667 degrees (exact)

1 arcminute = 0.0166666666667 degrees

How to convert arcminutes to degrees

Formula° = ′ × 0.01666666667

Because one degree equals 60 arcminutes, you can also divide: ° = ′ ÷ 60.

An arcminute is smaller than a degree: it takes 60 arcminutes to make one degree.

Worked examples

  • 1 arcminute1 ′ × 0.01666666667 = 0.01666666667 °
  • 5 arcminutes5 ′ × 0.01666666667 = 0.08333333333 °
  • 10 arcminutes10 ′ × 0.01666666667 = 0.1666666667 °
  • 20 arcminutes20 ′ × 0.01666666667 = 0.3333333333 °
  • 100 arcminutes100 ′ × 0.01666666667 = 1.666666667 °

Arcminutes to degrees conversion table

Values are calculated by the conversion engine and rounded to 8 significant figures.

Arcminutes to degrees: 0.1–10 ′
Arcminutes (′)Degrees (°)
0.1 ′0.0016666667 °
0.25 ′0.0041666667 °
0.5 ′0.0083333333 °
1 ′0.016666667 °
2 ′0.033333333 °
3 ′0.05 °
4 ′0.066666667 °
5 ′0.083333333 °
6 ′0.1 °
7 ′0.11666667 °
8 ′0.13333333 °
9 ′0.15 °
10 ′0.16666667 °
Arcminutes to degrees: 12–1,000 ′
Arcminutes (′)Degrees (°)
12 ′0.2 °
15 ′0.25 °
20 ′0.33333333 °
25 ′0.41666667 °
30 ′0.5 °
40 ′0.66666667 °
50 ′0.83333333 °
75 ′1.25 °
100 ′1.6666667 °
250 ′4.1666667 °
500 ′8.3333333 °
1,000 ′16.666667 °

About the units

Arcminute (′)

One sixtieth of a degree. Rifle-scope adjustments are often given in MOA (minutes of angle). One arcminute equals 0.0002908882087 radians (rad).

Degree (°)

One 360th of a full turn. One degree equals 0.01745329252 radians (rad).

Frequently asked questions

How many degrees are in one arcminute?

There are 0.01666666667 degrees in one arcminute, and this value is exact by definition.

How do I convert arcminutes to degrees?

Multiply the number of arcminutes by 0.01666666667. For example, 10 ′ × 0.01666666667 = 0.1666666667 °.

How many arcminutes are in one degree?

One degree equals 60 arcminutes. That is the reverse factor, 1 ÷ 0.01666666667.

What is 10 arcminutes in degrees?

10 ′ = 0.1666666667 °.

Is this ′ to ° converter accurate?

Yes. Both units are defined exactly in terms of SI units, so the conversion factor is exact; results are shown to 12 significant figures by default and you can change precision in the converter. Calculations run in your browser using the same tested engine that generated this page.

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