Convert arcminutes to degrees

Type the number of arcminutes that you wish to convert to degrees.

1(arcminutes) = 0.0166666667 ° (degrees)

How to Convert Arcminutes to Degrees

The arcminute and degree are both units of angle. 1 degree equals 59.999999999 arcminutes. This means to convert arcminutes to degrees, you divide by 59.999999999.

Formula

degrees = arcminutes ÷ 59.999999999

Step-by-Step Example

Convert 5 ′ to degrees:

1
Convert 5 ′ to degrees

We need to convert arcminutes to degrees

2
Apply the formula

Since 1 ° = 59.999999999 ′, divide by 59.999999999

5 ÷ 59.999999999 = 0.0833333333

Answer

5 ′ = 0.0833333333 °

Arcminute to Degree Conversion Table

Quick reference table for common arcminute to degree conversions. Click any value for detailed calculation.

Arcminutes (′) Degrees (°)
1 ′ 0.0166666667 °
2 ′ 0.0333333333 °
5 ′ 0.0833333333 °
10 ′ 0.1666666667 °
15 ′ 0.25 °
20 ′ 0.3333333333 °
25 ′ 0.4166666667 °
50 ′ 0.8333333334 °
100 ′ 1.6666666667 °

About These Units

Arcminute (′)

An arcminute (′ or MOA) is 1/60 of a degree. Arcminutes measure astronomical object sizes (Moon: ~31 arcminutes), visual acuity (normal vision resolves 1 arcminute), and rifle scope adjustments (1 MOA ≈ 1 inch at 100 yards). GPS coordinates use degrees and arcminutes.

Degree (°)

A degree (°) is 1/360 of a full rotation, the most widely used angle unit. Degrees measure geographic coordinates, temperature, slopes, and rotations. A right angle is 90°, straight angle is 180°, full circle is 360°. Each degree contains 60 arcminutes.

Frequently Asked Questions

How do I convert arcminutes to degrees?

To convert arcminutes to degrees, divide the value by 59.999999999. For example, 10 ′ = 0.1666666667 °.

How many degrees are in 1 arcminute?

1 arcminute equals 0.0166666667 degrees.

What is the formula for arcminutes to degrees?

The formula is: ° = ′ ÷ 59.999999999.