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Degrees to Minutes Converter

Convert angles between decimal degrees and arcminutes, with arcseconds and radians for reference.

Formula shown0 inputs definedUpdated Nov 2025By CalcuTotal TeamFree, no sign-up

Quick Summary

Use this when you need:

Translate survey bearings from degrees into arcminutes for field notes
Check telescope pointing tolerances expressed in arcminutes
Convert GIS outputs in radians into degrees and sub-units

You’ll get:Angle

How this is calculated

Formula:

arcminutes = degrees * 60

In plain language:

Angles are normalized to decimal degrees. One degree equals 60 arcminutes and 3600 arcseconds; radians are included for software contexts.

The formula is always visible so you can verify the math and explain your numbers to anyone who asks.

What these terms mean

Angle

Angle used in the calculation.

When to use this calculator

Translate survey bearings from degrees into arcminutes for field notes
Check telescope pointing tolerances expressed in arcminutes
Convert GIS outputs in radians into degrees and sub-units

Last updated: November 25, 2025

Degrees to arcminutes converter explained

Surveying, astronomy, and navigation often need more resolution than whole degrees. Arcminutes (1/60 of a degree) and arcseconds (1/3600) provide that precision. This converter keeps those small units aligned with decimal degrees and radians.

How the conversion works

1 degree = 60 arcminutes = 3600 arcseconds.
1 radian = 57.2957795131 degrees.

The calculator normalizes to degrees, applies these fixed ratios, and returns the target unit with clean rounding so you can move between notations confidently.

Quick examples

$12^\circ \rightarrow 12 \times 60 = 720\ \text{arcmin}$
$900\ \text{arcmin} \rightarrow 900 / 60 = 15^\circ$
$0.25^\circ \rightarrow 0.25 \times 3600 = 900\ \text{arcsec}$

Tips

Arcminutes/arcseconds describe angles, not time; keep the context clear.
Use radians when feeding angles into most programming libraries; convert first to avoid subtle bugs.
For map bearings, match the precision to your measurement gear—overly fine decimals may be misleading.

Units and conversions

Unit	Symbol	Relation
Degree	°	base
Arcminute	arcmin (′)	$1^\circ = 60′$
Arcsecond	arcsec (″)	$1^\circ = 3600″$
Radian	rad	$1\ \text{rad} = 57.2957795131^\circ$

Worked examples

Telescope pointing tolerance
Mount spec: ± $3\ \text{arcmin}$ . How many degrees?
$\text{degrees} = 3 / 60 = 0.05^\circ$
Result: 0.05° tolerance.
Field bearing to arcseconds
Bearing adjustment: $1.2^\circ$ .
$\text{arcsec} = 1.2 \times 3600 = 4320$
Result: 4320 arcseconds.
Radian input to arcminutes
Software outputs $0.02\ \text{rad}$ .
$\text{degrees} = 0.02 \times 57.2957795131 \approx 1.1459^\circ \\ \text{arcmin} = 1.1459 \times 60 \approx 68.75$
Result: ≈68.75 arcminutes.

References and further reading

Frequently Asked Questions

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Calculator info

Version:: v1.0.0
Last reviewed:: Nov 25, 2025
Sensitivity:: low

Last updated: November 25, 2025

Degrees to arcminutes converter explained

How the conversion works

1 degree = 60 arcminutes = 3600 arcseconds.
1 radian = 57.2957795131 degrees.

The calculator normalizes to degrees, applies these fixed ratios, and returns the target unit with clean rounding so you can move between notations confidently.

Quick examples

$12^\circ \rightarrow 12 \times 60 = 720\ \text{arcmin}$
$900\ \text{arcmin} \rightarrow 900 / 60 = 15^\circ$
$0.25^\circ \rightarrow 0.25 \times 3600 = 900\ \text{arcsec}$

Tips

Arcminutes/arcseconds describe angles, not time; keep the context clear.
Use radians when feeding angles into most programming libraries; convert first to avoid subtle bugs.
For map bearings, match the precision to your measurement gear—overly fine decimals may be misleading.

Units and conversions

Unit	Symbol	Relation
Degree	°	base
Arcminute	arcmin (′)	$1^\circ = 60′$
Arcsecond	arcsec (″)	$1^\circ = 3600″$
Radian	rad	$1\ \text{rad} = 57.2957795131^\circ$

Worked examples

Telescope pointing tolerance
Mount spec: ± $3\ \text{arcmin}$ . How many degrees?
$\text{degrees} = 3 / 60 = 0.05^\circ$
Result: 0.05° tolerance.
Field bearing to arcseconds
Bearing adjustment: $1.2^\circ$ .
$\text{arcsec} = 1.2 \times 3600 = 4320$
Result: 4320 arcseconds.
Radian input to arcminutes
Software outputs $0.02\ \text{rad}$ .
$\text{degrees} = 0.02 \times 57.2957795131 \approx 1.1459^\circ \\ \text{arcmin} = 1.1459 \times 60 \approx 68.75$
Result: ≈68.75 arcminutes.

Quick Summary

Calculator Tool

How this is calculated

What these terms mean

Angle

When to use this calculator

Degrees to arcminutes converter explained

How the conversion works

Quick examples

Tips

Units and conversions

Worked examples

References and further reading

Frequently Asked Questions

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Calculator info

Degrees to arcminutes converter explained

How the conversion works

Quick examples

Tips

Units and conversions

Worked examples

References and further reading

Frequently Asked Questions

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Degrees to Seconds Converter

Degrees to Radians Converter

Angle Conversion Calculator

Projectile Range Calculator

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Acres to Hectares Converter

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Found an error?

Calculator info