1 arcsecond equals 0.000277778 degrees. To convert arcseconds to degrees, multiply the arcsecond value by 0.000277778. For quick reference: 1 ″ = 0.000277778 °, 5 ″ = 0.00138889 °, 10 ″ = 0.00277778 °, 100 ″ = 0.0277778 °.
FormulaDegrees = Arcseconds × 0.000277778
Quick
How to convert arcseconds to degrees
1
Take your value
Start with your value in arcseconds.
2
Multiply by 0.000277778
Multiply the arcsecond value by 0.000277778. This is the exact conversion factor from arcseconds to degrees.
3
Read the result
The product is your value in degrees. For example, 5 ″ × 0.000277778 = 0.00138889 °.
Conversion formula
The exact factor from arcseconds to degrees is 0.000277778.
Degrees = Arcseconds × 0.000277778
Arcseconds to Degrees conversion table
Fifty common reference values, hand-picked for skim utility. Use the calculator above for any value not listed.
Conversion table from arcseconds to degrees
Arcseconds (″)
Degrees (°)
0.1 ″
2.7778 × 10^−5 °
0.25 ″
6.9444 × 10^−5 °
0.5 ″
0.00013889 °
1 ″
0.00027778 °
2 ″
0.00055556 °
3 ″
0.00083333 °
4 ″
0.0011111 °
5 ″
0.0013889 °
6 ″
0.0016667 °
7 ″
0.0019444 °
8 ″
0.0022222 °
9 ″
0.0025 °
10 ″
0.0027778 °
11 ″
0.0030556 °
12 ″
0.0033333 °
13 ″
0.0036111 °
14 ″
0.0038889 °
15 ″
0.0041667 °
16 ″
0.0044444 °
18 ″
0.005 °
20 ″
0.0055556 °
22 ″
0.0061111 °
24 ″
0.0066667 °
25 ″
0.0069444 °
28 ″
0.0077778 °
30 ″
0.0083333 °
32 ″
0.0088889 °
36 ″
0.01 °
40 ″
0.011111 °
45 ″
0.0125 °
48 ″
0.013333 °
50 ″
0.013889 °
60 ″
0.016667 °
70 ″
0.019444 °
75 ″
0.020833 °
80 ″
0.022222 °
90 ″
0.025 °
100 ″
0.027778 °
125 ″
0.034722 °
150 ″
0.041667 °
200 ″
0.055556 °
250 ″
0.069444 °
300 ″
0.083333 °
400 ″
0.11111 °
500 ″
0.13889 °
600 ″
0.16667 °
750 ″
0.20833 °
800 ″
0.22222 °
900 ″
0.25 °
1000 ″
0.27778 °
Real-world reference
A star exhibiting one arcsecond of parallax is exactly one parsec away. The Hubble Space Telescope can resolve details down to about 0.05 arcseconds.
Frequently asked questions
How many degrees are in 1 arcsecond?
1 arcsecond equals 0.000277778 degrees.
How do I convert arcseconds to degrees?
Multiply the arcsecond value by 0.000277778. So x ″ × 0.000277778 = the equivalent in °.
What is 5 arcseconds in degrees?
5 arcseconds equals 0.00138889 degrees.
What is 10 arcseconds in degrees?
10 arcseconds equals 0.00277778 degrees.
What is 100 arcseconds in degrees?
100 arcseconds equals 0.0277778 degrees.
How do I convert back from degrees to arcseconds?
Multiply the degree value by 3600. For example, 1 ° = 3600 ″.
Is the arcsecond bigger than the degree?
No. 1 arcsecond is smaller than 1 degree. It takes 3600 arcseconds to equal 1 degree.
Are these conversion factors exact?
The factor is derived directly from the SI definitions of arcsecond and degree; the displayed value is rounded for readability, and the browser computes using IEEE 754 double-precision arithmetic.
About the arcsecond and the degree
The arcsecond
The arcsecond (″) equals 1/3600 of a degree, or 1/60 of an arcminute. It is the standard unit for extremely small angles in astronomy and geodesy — a star's parallax shift of one arcsecond at one astronomical unit baseline defines the parsec.
The degree
The degree (°) divides a full rotation into 360 equal parts, a convention traced to Babylonian sexagesimal astronomy. It is the everyday unit for angles in navigation, geography (latitude/longitude), construction, and general use.
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