Degrees to Arcminutes
An instant degrees-to-arcminutes converter, with the formula and a reference table below.
| Degrees | Arcminutes |
|---|---|
| 1 ° | 60 ′ |
| 2 ° | 120 ′ |
| 3 ° | 180 ′ |
| 5 ° | 300 ′ |
| 10 ° | 600 ′ |
| 25 ° | 1500 ′ |
| 50 ° | 3000 ′ |
| 100 ° | 6000 ′ |
How to use
- Enter a value in the Degrees field.
- The Arcminutes figure appears immediately — no button to press.
- Typing in the Arcminutes field converts back to Degrees the same way.
- Use the reference table for the values that come up most often.
Degrees to Arcminutes formula
Converting degrees to arcminutes is a single multiplication by 60.
′ = ° × 60
Put another way, one degree is exactly 60 arcminutes.
Why this factor: the degree and the arcminute are both defined against the degree, so dividing one definition by the other gives 60 directly. Both definitions are set out in full below.
To go the other way, divide by 60 — or use the Arcminutes to Degrees converter, which is the same calculation reversed.
Worked example
Given 90 °, multiplying by 60 yields 5400 ′.
90 ° × 60 = 5400 ′
The converter above does this for any value you type, in either direction.
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.
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.
Degrees vs Arcminutes
The degree and the arcminute 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 arcminutes are in a degree?
One degree equals 60 arcminutes.
What is the formula to convert degrees to arcminutes?
Multiply the number of degrees by 60. To reverse it, divide by 60 instead.
How do I convert arcminutes back to degrees?
Divide by 60, which is the same as multiplying by 0.0166666667.
How many arcminutes are in 10 degrees?
10 ° works out to 600 ′.
How is the degree defined?
Exactly 1/360 of a complete revolution. The choice of 360 comes from Babylonian base-60 arithmetic.