Convert miles to approximate geographic degrees using a distance-per-degree factor. Separate angle modes retain NATO mils, true milliradians, other angle units, DMS and conversion tables.
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Miles To Degrees Formula
The following formula is used to calculate the conversion from miles to degrees.
Variables:
- D is the angular change in degrees
- M is the distance in miles
- CF is the distance per degree (approximately 69 miles per degree of latitude)
To estimate angular change in degrees, divide the distance in miles by the distance per degree. The default of 69 miles per degree approximates latitude change. Longitude spacing decreases toward the poles, so longitude requires a known local factor. This estimate does not calculate a route or new coordinates.
| Miles (mi) | Degrees (°) |
|---|---|
| 0.10 | 0.0014 |
| 0.25 | 0.0036 |
| 0.50 | 0.0072 |
| 1 | 0.0145 |
| 2 | 0.0290 |
| 3 | 0.0435 |
| 5 | 0.0725 |
| 7.5 | 0.1087 |
| 10 | 0.1449 |
| 12 | 0.1739 |
| 15 | 0.2174 |
| 20 | 0.2899 |
| 25 | 0.3623 |
| 30 | 0.4348 |
| 40 | 0.5797 |
| 50 | 0.7246 |
| 60 | 0.8696 |
| 75 | 1.0870 |
| 100 | 1.4493 |
| 150 | 2.1739 |
| *Assumes 1 degree of latitude ≈ 69 miles (deg/mi ≈ 0.01449). Longitude degrees per mile vary by latitude. | |
What is Miles To Degrees?
Miles to degrees estimates geographic angular change from distance and a distance-per-degree factor. About 69 miles per degree is useful for latitude; it is not valid for longitude at every latitude. NATO mils are a different quantity: an angular unit with 6,400 mils in a circle. Select the separate angle modes for mils or a conversion table.
How to Calculate Miles To Degrees?
The following steps outline how to calculate the Miles To Degrees using the formula D = M / CF.
- First, determine the distance in miles (M).
- Select Miles to geographic degrees and enter the distance-per-degree factor (CF). The 69 mi/° default approximates latitude change; use a known local factor for longitude.
- Next, gather the formula from above = D = M / CF.
- Finally, calculate the distance in degrees (D).
- After inserting the variables and calculating the result, check your answer with the calculator above.
Example Problem:
Use the following variables as an example problem to test your knowledge.
distance in miles (M) = 100
conversion factor (CF) = 69
