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Minute of Arc Converters

Convert minutes of arc (arcminutes) to and from degrees, radians, seconds of arc and other angle units.

What this tool does

Convert minutes of arc (arcminutes) to and from degrees, radians, seconds of arc and other angle units. Type an amount in arcminutes, choose the units, and the tool converts it to degrees. It offers 7 angle units and also shows the same amount in the others.

Inputs

  • Value: A number.
  • From: Choose one: Arcminute, Degree, Radian, Arcsecond, Gradian (gon), Turn (revolution), Milliradian. Starts as Arcminute.
  • To: Choose one of the same 7 units as "From". Starts as Degree.

How to use

  1. Enter the amount you want to convert.
  2. Choose the unit to convert from and the unit to convert to.
  3. Read the result: the converted amount and the same amount in the other units. It appears once every required field has a valid value.

Worked examples

Conversions from arcminutes to degrees:

  • 1′ ≈ 0.0166667°
  • 5′ ≈ 0.0833333°
  • 10′ ≈ 0.166667°
  • 50′ ≈ 0.833333°
  • 100′ ≈ 1.666667°

Multiply the number of arcminutes by about 0.0166667 to get degrees. The factor follows from exact definitions. It has more digits than fit here, so it is shown rounded.

Sources: Arcminute: SI Brochure, 9th edition (2019), Table 8. Degree: SI Brochure, 9th edition (2019), Table 8.

Limitations

  • Converts the size of an angle between units only. It does not work out angles from side lengths or slopes.
  • Turn and revolution are the same unit here: one full circle.

FAQs

Q: How do I convert arcminutes to degrees?
A: Enter the value, choose arcminute as the From unit and degree as the To unit. The result appears along with the same angle in the other listed units. To go the other way, swap the two units.
Q: How are arcminutes and arcseconds related?
A: There are 60 arcminutes in a degree and 60 arcseconds in an arcminute, so 3600 arcseconds in a degree. One arcminute is about 0.000290888 radian and one arcsecond is about 0.00000484814 radian.
Q: Can I convert the other way?
A: Yes. Swap the From and To units to convert degrees to arcminutes.

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