Degrees to Minutes Converter
Convert degrees to minutes of arc and other angular measurements
Convert Degrees and Minutes of Arc
Range: -360° to 360°
1 arcminute = 1/60 degree
Conversion Results
Conversion Formulas
Degrees to Minutes: minutes = degrees × 60
Minutes to Degrees: degrees = minutes ÷ 60
*1 degree = 60 arcminutes = 3,600 arcseconds
Example Calculations
Example 1: Right Angle
90 degrees × 60 = 5,400 arcminutes
This is a standard right angle measurement
Example 2: Straight Line
180 degrees × 60 = 10,800 arcminutes
This represents a straight line or half circle
Example 3: Small Angle
0.5 degrees × 60 = 30 arcminutes
Useful for precision measurements in astronomy
Common Degrees to Minutes Conversions
| Degrees | Minutes of Arc | Description |
|---|---|---|
| 0.0167° | 1.002' | 1 arcminute |
| 0.25° | 15' | 15 arcminutes |
| 0.5° | 30' | 30 arcminutes |
| 1° | 60' | 1 degree |
| 15° | 900' | 1 hour of RA |
| 30° | 1,800' | 30 degrees |
| 45° | 2,700' | 45 degrees |
| 60° | 3,600' | 60 degrees |
| 90° | 5,400' | Right angle |
| 180° | 10,800' | Straight angle |
| 270° | 16,200' | 3/4 circle |
| 360° | 21,600' | Full circle |
Angular Units
Degree (°)
1/360 of a full circle
Arcminute (')
1/60 of a degree
Arcsecond (")
1/60 of an arcminute
Full Circle
360° = 21,600' = 1,296,000"
Quick Facts
1 degree = 60 arcminutes
1 arcminute = 0.0166667 degrees
Used in navigation and astronomy
Angular diameter of Moon ≈ 30 arcmin
1 nautical mile ≈ 1 arcminute
Understanding Degrees to Minutes Conversion
What is a Minute of Arc?
A minute of arc (arcminute) is a unit of angular measurement equal to 1/60 of one degree. It's commonly used in astronomy, navigation, surveying, and marksmanship for precise angular measurements.
Conversion Formula
- •Degrees to Minutes: multiply by 60
- •Minutes to Degrees: divide by 60
Example Calculation
Convert 90 degrees to arcminutes:
90° × 60 = 5,400 arcminutes
Practical Applications
- 1Astronomy: measuring celestial object positions
- 2Navigation: GPS coordinates and maritime navigation
- 3Surveying: precise land and construction measurements
- 4Optics: telescope and camera field of view
Real-World Examples
Moon's diameter: About 30 arcminutes
Sun's diameter: About 32 arcminutes
Human visual acuity: About 1 arcminute
Rifle accuracy: Often measured in arcminutes