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Degrees to Seconds of Arc Converter

Convert degrees (°) to seconds of arc (″), with the formula, a conversion table and exact factors.

Change the values and press Calculate to work out your own figures.

Enter an angle, choose its unit and the unit you want. The answer is exact until it is shown, and the same value appears in every other unit.

About valueA number, fraction (3/8), mixed number (1 1/2), scientific notation (2.5e6) or a simple sum such as 2*3.
About toThe unit you want the answer in. Swap exchanges the two units.
Result
Result
3,600 ″
radians
0.0174532925199 rad
milliradians
17.4532925199 mrad
minutes of arc
60 ′
gradians (gons)
1.11111111111 gon
revolutions (turns)
0.00277777777778 rev
mils (NATO, 6,400 per turn)
17.7777777778 mil

1 ° = 3,600 ″

Show the working
  1. 1 ° = 3600 ″
  2. 1 × 3600 = 3600 ″

How to convert degrees to seconds of arc

1 ° = 3,600 ″, so multiply by 3,600 to go from degrees to seconds of arc. Going the other way, 1 ″ = 0.000277777777778 °.

″ = ° × 3,600
° = ″ × 0.000277777777778

Worked example:

1 ° = 3600 ″
5 × 3600 = 18000 ″

Degrees to seconds of arc table

DegreesSeconds of Arc
1 °3,600 ″
2 °7,200 ″
3 °10,800 ″
4 °14,400 ″
5 °18,000 ″
6 °21,600 ″
7 °25,200 ″
8 °28,800 ″
9 °32,400 ″
10 °36,000 ″
15 °54,000 ″
20 °72,000 ″
25 °90,000 ″
30 °108,000 ″
40 °144,000 ″
50 °180,000 ″
75 °270,000 ″
100 °360,000 ″
250 °900,000 ″
500 °1,800,000 ″
1000 °3,600,000 ″

About the units

Degrees (°)
Degrees, a metric unit. Involves π, which no fraction equals exactly; this converter uses π to 50 significant digits, far beyond the 12 digits shown. Definition: BIPM SI Brochure, 9th edition (SI units, prefixes and units accepted for use with the SI).
Seconds of Arc (″)
Seconds of arc, a metric unit. Involves π, which no fraction equals exactly; this converter uses π to 50 significant digits, far beyond the 12 digits shown. Definition: BIPM SI Brochure, 9th edition (SI units, prefixes and units accepted for use with the SI).

Formula version 0.1.0Reviewed