Degree to Minute Converter
Enter the value that you want to convert degree (°) to minute (') or minute to degree.Also written as ° to ' conversion.
1 degree = 59.9999988 minute
Formula: minute = degree value × 59.9999988
° to ' — degree to minute
10 degree = 599.99999 minute
Popular Degree Converters:
How Degree Relates to Minute
What is Degree?
Dating back to ancient Babylonian astronomy, the degree divides a full rotation into 360 equal parts.
The Babylonians used a base-60 number system and observed that the sun moved approximately one degree per day across the sky over a year. The 360° circle became universal in navigation, surveying, architecture, and education. Degrees remain the standard angle unit in everyday life — from compass bearings and map coordinates to smartphone screen rotation and camera field-of-view specifications.
Understanding the Minute
Minute (') is a unit of degree measurement. 1 minute is equal to 0.0166667 degree.
Why Angle Conversions Matter
Angle conversions bridge the gap between everyday measurement (degrees) and mathematical computation (radians). A mechanical engineer designing a robotic arm needs radians for inverse kinematics. A pilot reads compass headings in degrees. A surveyor might work in gradians. Game developers convert between degrees (artist-friendly) and radians (GPU shaders) hundreds of times per frame. Understanding these conversions is essential across STEM fields, navigation, and digital media production.
degree to minute metric conversion table
| 0.01 ° | = | 0.60000 ' |
| 0.1 ° | = | 6.00000 ' |
| 1 ° | = | 60.00000 ' |
| 2 ° | = | 120.00000 ' |
| 3 ° | = | 180.00000 ' |
| 4 ° | = | 240.00000 ' |
| 5 ° | = | 299.99999 ' |
| 6 ° | = | 359.99999 ' |
| 7 ° | = | 419.99999 ' |
| 8 ° | = | 479.99999 ' |
| 9 ° | = | 539.99999 ' |
| 10 ° | = | 599.99999 ' |
| 11 ° | = | 659.99999 ' |
| 12 ° | = | 719.99999 ' |
| 13 ° | = | 779.99998 ' |
| 14 ° | = | 839.99998 ' |
| 15 ° | = | 899.99998 ' |
| 16 ° | = | 959.99998 ' |
| 17 ° | = | 1019.99998 ' |
| 18 ° | = | 1079.99998 ' |
| 19 ° | = | 1139.99998 ' |
| 20 ° | = | 1199.99998 ' |
| 30 ° | = | 1799.99996 ' |
| 40 ° | = | 2399.99995 ' |
| 50 ° | = | 2999.99994 ' |
| 60 ° | = | 3599.99993 ' |
| 70 ° | = | 4199.99992 ' |
| 80 ° | = | 4799.99990 ' |
| 90 ° | = | 5399.99989 ' |
| 100 ° | = | 5999.99988 ' |
| 200 ° | = | 11999.99976 ' |
| 300 ° | = | 17999.99964 ' |
| 400 ° | = | 23999.99952 ' |
| 500 ° | = | 29999.99940 ' |
| 600 ° | = | 35999.99928 ' |
| 700 ° | = | 41999.99916 ' |
| 800 ° | = | 47999.99904 ' |
| 900 ° | = | 53999.99892 ' |
| 1000 ° | = | 59999.99880 ' |
How to Convert ° to ' (Degree to Minute)?
We can convert degree to minute by using an example.
Example:
Convert 20 Degree to Minute?
We know 1 Degree = 59.9999988 minute; 1 Minute = 0.0166667 degree.
20 degree = ___'
20 × 59.9999988 = 1199.99998 ' (we know 1 degree = 59.9999988 minute)
Answer:
20 degree = 1199.99998 minute
How to Convert Degrees to Arcminutes (Step-by-Step)
Each degree contains exactly 60 arcminutes (also written as minutes of arc or MOA). The conversion is straightforward:
- Write down the angle in degrees (may include a decimal).
- Multiply the entire degree value by 60.
- The result is the angle in arcminutes.
- For decimal degrees like 5.75°: multiply 5.75 × 60 = 345 arcminutes.
Degrees to Arcminutes Reference
Standard conversions used in navigation, astronomy, and precision measurement:
| Degree | Minute |
|---|---|
| 1° | 60′ |
| 0.5° | 30′ |
| 0.25° | 15′ |
| 0.1° | 6′ |
| 0.01° | 0.6′ |
| 15° | 900′ |
| 90° | 5400′ |
| 360° | 21600′ |
Solved Examples
Question 1: Convert 7.5 degrees to arcminutes.
Solution:
Arcminutes = Degrees × 60
= 7.5 × 60
= 450
Answer: 7.5° = 450 arcminutes
Question 2: Express 23.25° in degrees and arcminutes (DM format).
Solution:
Whole degrees = 23°
Decimal part = 0.25° × 60 = 15′
Answer: 23.25° = 23° 15′
Question 3: A GPS coordinate shows latitude 40.7128°. Express the decimal part in arcminutes.
Solution:
Whole degrees = 40°
Decimal part = 0.7128° × 60 = 42.768′
Answer: 40.7128° = 40° 42.768′ (or 40° 42′ 46.1″)
Question 4: The Moon's apparent diameter is about 0.52°. How many arcminutes?
Solution:
Arcminutes = 0.52 × 60
= 31.2
Answer: The Moon spans approximately 31.2 arcminutes in the sky.
Practice Questions
Try solving these on your own to test your understanding:
- Convert 3.75° to arcminutes. (Answer: 225′)
- Express 51.5074° (London latitude) in degrees and minutes. (Answer: 51° 30.444′)
- How many arcminutes in 0.017° — the angular size of Venus? (Answer: 1.02′)
- Convert 15° to arcminutes. (Answer: 900′)
- A rifle scope adjusts in 0.25 MOA clicks. What fraction of a degree is each click? (Answer: 0.00417°)
Arcminutes in Navigation and GPS
One arcminute of latitude equals exactly one nautical mile (1.852 km or 1.151 statute miles). This relationship is not a coincidence — the nautical mile was originally defined this way. GPS coordinates in Degrees-Minutes (DM) format like N 40° 42.768′ directly tell navigators distance in nautical miles. Maritime and aviation charts use this extensively.
MOA (Minute of Angle) in Precision Shooting
In firearms and optics, "MOA" refers to one arcminute. At 100 yards, 1 MOA ≈ 1.047 inches. Rifle scope turrets adjust in fractions of MOA (typically 1/4 or 1/8 MOA per click). A "1 MOA rifle" groups all shots within a 1-inch circle at 100 yards. At 1000 yards, 1 MOA = about 10.47 inches. This angular measurement system scales perfectly with distance.
Arcminutes in Astronomy
Astronomers use arcminutes to describe angular sizes of celestial objects. The full Moon spans about 31 arcminutes (roughly half a degree). Jupiter's disk is about 0.5-0.8 arcminutes. The Andromeda Galaxy is about 190 × 60 arcminutes. Telescope resolving power is often specified in arcseconds (1/60 of an arcminute), with the Hubble Space Telescope resolving to about 0.05 arcseconds.
Key Takeaways
- Multiply degrees by 60 to get arcminutes (1° = 60′).
- 1 arcminute of latitude = 1 nautical mile (1.852 km).
- MOA (minute of angle) is the standard precision unit in shooting sports.
- GPS coordinates often use Degrees-Minutes (DM) format.
- The Moon is about 31 arcminutes across in the sky.
- Human eye resolution is approximately 1 arcminute (basis for 20/20 vision).
Degree to Minute Conversion Formula
minute = degree × 59.9999988
1 degree = 59.9999988 minute
1 minute = 0.0166667 degree
Reverse: degree = minute × 0.0166667
Frequently Asked Questions
How many minute are in 1 degree?
There are 59.9999988 minute in 1 degree. To convert degree to minute, multiply the value by 59.9999988.
How do I convert degree to minute?
Multiply your degree value by 59.9999988 to get the equivalent in minute. For example, 5 degree = 5 × 59.9999988 = 299.99999 minute.
How do I convert minute to degree?
Multiply your minute value by 0.0166667 to get the equivalent in degree. Alternatively, divide by 59.9999988.
What is 10 degree in minute?
10 degree is equal to 599.99999 minute.
What is 100 degree in minute?
100 degree is equal to 5999.99988 minute.