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Degrees to Seconds Converter

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

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

Quick Summary

Use this when you need:

Express telescope pointing accuracy in arcseconds
Convert fine survey bearings between degrees and arcseconds
Check small rotation tolerances in optics or machining specs

You’ll get:Angle

How this is calculated

Formula:

arcseconds = degrees * 3600

In plain language:

Angles normalize to degrees. One degree equals 3600 arcseconds and 60 arcminutes; radians are included for software workflows.

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

Express telescope pointing accuracy in arcseconds
Convert fine survey bearings between degrees and arcseconds
Check small rotation tolerances in optics or machining specs

Last updated: November 25, 2025

Degrees to arcseconds converter explained

Arcseconds are tiny angles: there are 3600 of them in a single degree. Astronomers, surveyors, and machinists use them to describe precise pointing or tolerances. This converter keeps degrees, arcminutes, arcseconds, and radians in lockstep.

How the conversion works

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

The tool normalizes to degrees, applies these fixed ratios, and rounds sensibly to avoid floating-point surprises in software or spreadsheets.

Quick examples

$0.5^\circ \rightarrow 0.5 \times 3600 = 1800\ \text{arcsec}$
$7200\ \text{arcsec} \rightarrow 7200 / 3600 = 2^\circ$
$5\ \text{arcmin} \rightarrow 5 \times 60 = 300\ \text{arcsec}$

Tips

Arcseconds describe angular size, not time seconds—keep notation clear (arcsec vs s).
When entering very small angles, keep a few extra decimals to avoid rounding away the signal.
Use radians if you are piping the value into math libraries; toggle back to arcseconds for specs and reports.

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

Optics tolerance
Mirror tilt must stay within $45\ \text{arcsec}$ .
$\text{degrees} = 45 / 3600 = 0.0125^\circ$
Result: 0.0125° allowable tilt.
Navigation correction
Bearing correction: $0.08^\circ$ .
$\text{arcsec} = 0.08 \times 3600 = 288$
Result: 288 arcseconds.
Radian output to arcseconds
Sensor shows $0.0005\ \text{rad}$ .
$\text{degrees} = 0.0005 \times 57.2957795131 \approx 0.028648 \\ \text{arcsec} = 0.028648 \times 3600 \approx 103.13$
Result: ≈103 arcseconds.

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 arcseconds converter explained

How the conversion works

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

The tool normalizes to degrees, applies these fixed ratios, and rounds sensibly to avoid floating-point surprises in software or spreadsheets.

Quick examples

$0.5^\circ \rightarrow 0.5 \times 3600 = 1800\ \text{arcsec}$
$7200\ \text{arcsec} \rightarrow 7200 / 3600 = 2^\circ$
$5\ \text{arcmin} \rightarrow 5 \times 60 = 300\ \text{arcsec}$

Tips

Arcseconds describe angular size, not time seconds—keep notation clear (arcsec vs s).
When entering very small angles, keep a few extra decimals to avoid rounding away the signal.
Use radians if you are piping the value into math libraries; toggle back to arcseconds for specs and reports.

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

Optics tolerance
Mirror tilt must stay within $45\ \text{arcsec}$ .
$\text{degrees} = 45 / 3600 = 0.0125^\circ$
Result: 0.0125° allowable tilt.
Navigation correction
Bearing correction: $0.08^\circ$ .
$\text{arcsec} = 0.08 \times 3600 = 288$
Result: 288 arcseconds.
Radian output to arcseconds
Sensor shows $0.0005\ \text{rad}$ .
$\text{degrees} = 0.0005 \times 57.2957795131 \approx 0.028648 \\ \text{arcsec} = 0.028648 \times 3600 \approx 103.13$
Result: ≈103 arcseconds.

Quick Summary

Calculator Tool

How this is calculated

What these terms mean

Angle

When to use this calculator

Degrees to arcseconds 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 arcseconds converter explained

How the conversion works

Quick examples

Tips

Units and conversions

Worked examples

References and further reading

Frequently Asked Questions

Related Calculators

Degrees to Minutes Converter

Degrees to Radians Converter

Angle Conversion Calculator

Projectile Range Calculator

Acreage Calculator

Acres to Hectares Converter

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Found an error?

Calculator info