arc-minutes to degrees
Convert arc-minute to degree — instant, free, with the formula shown.
1 ′=0.01666667 °
How to convert arc-minute to degree
To convert arc-minute to degree, multiply by 0.01666667:
° = ′ × 0.01666667
For example, 10 ′ × 0.016667 = 0.16666667 °.
′ to ° conversion table
| arc-minutes (′) | degrees (°) |
|---|---|
| 1 ′ | 0.01666667 ° |
| 2 ′ | 0.03333333 ° |
| 5 ′ | 0.08333333 ° |
| 10 ′ | 0.16666667 ° |
| 25 ′ | 0.41666667 ° |
| 50 ′ | 0.83333333 ° |
| 100 ′ | 1.66666667 ° |
| 250 ′ | 4.16666667 ° |
| 500 ′ | 8.33333333 ° |
| 1000 ′ | 16.66666667 ° |
Other arc-minute conversions
Convert to degree from another unit
′ to ° — frequently asked
How many degrees are in 1 arc-minute?
1 arc-minute = 0.01666667 degrees (′ × 0.016667 = °).
What is the formula to convert arc-minute to degree?
Multiply your arc-minute value by 0.01666667 to get degree.
How do I convert 10 arc-minutes to degrees?
10 ′ = 0.16666667 °. For 100 ′ the answer is 1.66666667 °. Use the calculator on this page for any other value.
When to convert arc-minute to degree
1Mathematics and trigonometry (radians)
2Surveying and navigation (degrees, minutes, seconds)
3Engineering (mrad for laser sights, optics)
4Astronomy (arc-seconds for stellar parallax)
Angle conversion — common questions
Why are radians used in math instead of degrees?
Because in radians, derivatives and series of trig functions take their simplest form (d/dx sin(x) = cos(x) only when x is in radians).
How many degrees in 1 radian?
1 rad = 180/π ≈ 57.2958°.
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