Arcminutes to Degrees
An instant arcminutes-to-degrees converter, with the formula and a reference table below.
| Arcminutes | Degrees |
|---|---|
| 1 ′ | 0.016667 ° |
| 2 ′ | 0.033333 ° |
| 3 ′ | 0.05 ° |
| 5 ′ | 0.083333 ° |
| 10 ′ | 0.166667 ° |
| 25 ′ | 0.416667 ° |
| 50 ′ | 0.833333 ° |
| 100 ′ | 1.666667 ° |
How to use
- Enter a value in the Arcminutes field.
- The Degrees figure appears immediately — no button to press.
- Typing in the Degrees field converts back to Arcminutes the same way.
- Use the reference table for the values that come up most often.
Arcminutes to Degrees formula
Converting arcminutes to degrees is a single multiplication by 0.0166666667.
° = ′ × 0.0166666667
Put another way, one arcminute is exactly 1/60 of a degree.
Why this factor: the arcminute and the degree are both defined against the degree, so dividing one definition by the other gives 0.0166666667 directly. Both definitions are set out in full below.
To go the other way, divide by 0.0166666667 — or use the Degrees to Arcminutes converter, which is the same calculation reversed.
Worked example
Given 90 ′, multiplying by 0.0166666667 yields 1.5 °.
90 ′ × 0.0166666667 = 1.5 °
The converter above does this for any value you type, in either direction.
What is an arcminute?
An arcminute is one sixtieth of a degree, used where degrees are too coarse.
Definition: Exactly 1/60 degree. Symbol is the prime (′).
Where it is used: Navigation and latitude (one arcminute of latitude is one nautical mile), astronomy, and optometry.
What is a degree?
A degree is one 360th of a full turn, the everyday unit of angle.
Definition: Exactly 1/360 of a complete revolution. The choice of 360 comes from Babylonian base-60 arithmetic.
Where it is used: Geometry, navigation bearings, latitude and longitude, and CSS rotations.
Arcminutes vs Degrees
The arcminute and the degree belong to the same family of units, so converting between them is usually a matter of shifting a decimal point or applying a small whole-number factor.
Frequently asked questions
How many degrees are in an arcminute?
One arcminute equals 0.0166666667 degrees.
What is the formula to convert arcminutes to degrees?
Multiply the number of arcminutes by 0.0166666667. To reverse it, divide by 0.0166666667 instead.
How do I convert degrees back to arcminutes?
Divide by 0.0166666667, which is the same as multiplying by 60.
How many degrees are in 10 arcminutes?
10 ′ works out to 0.166667 °.
How is the arcminute defined?
Exactly 1/60 degree. Symbol is the prime (′).