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Arcminutes to Degrees (′ to °)
Convert arcminutes to degrees: 1 ′ = 0.0166667 °. Exact conversion factor, formula, 22-row table and worked examples, with JSON API and MCP access.
Formula
1 ′ = 0.0166667 °
degrees = arcminutes × 0.01666666667 — reverse: arcminutes = degrees × 60
The factor is derived from the SI definitions of both units (base unit: rad) as listed in NIST SP 811; results on this page are shown to 6 significant figures, the API returns up to 12.
Worked examples
- 5 ′ = 0.0833333 °
- 12.5 ′ = 0.208333 °
- 100 ′ = 1.66667 °
Arcminutes to degrees conversion table
| Arcminutes (′) | Degrees (°) |
|---|---|
| 1 | 0.0166667 |
| 2 | 0.0333333 |
| 3 | 0.05 |
| 4 | 0.0666667 |
| 5 | 0.0833333 |
| 6 | 0.1 |
| 7 | 0.116667 |
| 8 | 0.133333 |
| 9 | 0.15 |
| 10 | 0.166667 |
| 15 | 0.25 |
| 20 | 0.333333 |
| 25 | 0.416667 |
| 30 | 0.5 |
| 40 | 0.666667 |
| 50 | 0.833333 |
| 75 | 1.25 |
| 100 | 1.66667 |
| 200 | 3.33333 |
| 250 | 4.16667 |
| 500 | 8.33333 |
| 1000 | 16.6667 |
FAQ
How many degrees are in one arcminute?
1 ′ = 0.0166667 °. The factor comes from the SI definitions of both units (NIST SP 811 / BIPM), so it is exact or correct to at least 10 significant figures.
What is the formula to convert arcminutes to degrees?
Multiply the value in arcminutes by 0.01666666667: degrees = arcminutes × 0.01666666667. For example, 5 ′ = 0.0833333 °.
How do I convert degrees back to arcminutes?
Multiply by the inverse factor 60 (arcminutes = degrees × 60), or use the degrees-to-arcminutes page.
Related conversions
Machine access
- API:
GET https://tttkmbb.com/api/v1/convert?value=5&from_unit=arcmin&to_unit=deg - MCP: server
https://tttkmbb.com/mcp, toolconvert_unitswith{"value":5,"from_unit":"arcmin","to_unit":"deg"} - Markdown: https://tttkmbb.com/conversion/arcminutes-to-degrees.md · JSON: https://tttkmbb.com/conversion/arcminutes-to-degrees.json (add
?value=for a result) · Units: /api/v1/units?quantity=angle - OpenAPI operationId:
convert_units. Freshness:static. Authentication: none.