Convert Radians to Seconds Of Arc

Enter the angle in radians below to get the value converted to seconds of arc.

SWAP UNITS
Results in Seconds Of Arc:
Loading content.
1 rad = 206,264.806247 arcsec

How to Convert Radians to Seconds Of Arc

Protractors are often used to measure angle

To convert a radian measurement to a second of arc measurement, multiply the angle by the conversion ratio. One radian is equal to 206,264.806247 seconds of arc, so use this simple formula to convert:

seconds of arc = radians × 206,264.806247

The angle in seconds of arc is equal to the radians multiplied by 206,264.806247.

For example, here's how to convert 5 radians to seconds of arc using the formula above.
5 rad = (5 × 206,264.806247) = 1,031,324.031235"

Radians and seconds of arc are both units used to measure angle. Keep reading to learn more about each unit of measure.

Radians

A radian is the measurement of angle equal to the start to the end of an arc divided by the radius of the circle or arc. 1 radian is equal to 180/π, or about 57.29578°. There are about 6.28318 radians in a circle.

The radian is the SI derived unit for angle in the metric system. Radians can be abbreviated as rad, and are also sometimes abbreviated as c, r, or R. For example, 1 radian can be written as 1 rad, 1 c, 1 r, or 1 R.

Radians are often expressed using their definition. The formula to find radians is θ = s/r, where the angle in radians θ is equal to the arc length s divided by the radius r. Thus, radians may also be expressed as the formula of arc length over the radius.

Seconds Of Arc

The second of arc is a unit of angle equal to 1/60th of one minute of arc or 1/3,600 of one degree.

A second of arc is sometimes also referred to as an arc second or arcsecond. Seconds of arc can be abbreviated as arcsec, and are also sometimes abbreviated as asec. For example, 1 second of arc can be written as 1 arcsec or 1 asec.

The second of arc is most commonly expressed using a double prime (″), though a double quote is often used as well. For example, 1 second of arc is most often written as 1″.

Radian Measurements and Equivalent Second Of Arc Conversions

Common radian values converted to the equivalent second of arc value
Radians Seconds Of Arc
1 rad 206,265"
2 rad 412,530"
3 rad 618,794"
4 rad 825,059"
5 rad 1,031,324"
6 rad 1,237,589"
7 rad 1,443,854"
8 rad 1,650,118"
9 rad 1,856,383"
10 rad 2,062,648"
11 rad 2,268,913"
12 rad 2,475,178"
13 rad 2,681,442"
14 rad 2,887,707"
15 rad 3,093,972"
16 rad 3,300,237"
17 rad 3,506,502"
18 rad 3,712,767"
19 rad 3,919,031"
20 rad 4,125,296"
21 rad 4,331,561"
22 rad 4,537,826"
23 rad 4,744,091"
24 rad 4,950,355"
25 rad 5,156,620"
26 rad 5,362,885"
27 rad 5,569,150"
28 rad 5,775,415"
29 rad 5,981,679"
30 rad 6,187,944"
31 rad 6,394,209"
32 rad 6,600,474"
33 rad 6,806,739"
34 rad 7,013,003"
35 rad 7,219,268"
36 rad 7,425,533"
37 rad 7,631,798"
38 rad 7,838,063"
39 rad 8,044,327"
40 rad 8,250,592"

More Radian Angle Conversions

Convert to Milliradians
1 rad is equal to 1,000 milliradians
Convert to Degrees
1 rad is equal to 57.29578 degrees
Convert to Minutes Of Arc
1 rad is equal to 3,437.75 minutes of arc
Convert to Gradians
1 rad is equal to 63.661977 gradians
Convert to Revolutions
1 rad is equal to 0.159155 revolutions
Convert to Circles
1 rad is equal to 0.159155 circles
Convert to Mils (NATO)
1 rad is equal to 1,018.59 mils (NATO)