Radians to Arc Seconds

Convert radians (rad) to arc seconds () with formulas, examples, and conversion tables.

rad
1 rad = 206264.71
Full precision:206264.71
Step-by-Step Solution

To convert 1 radians to arc seconds, we multiply by 206264.71 because one radian equals exactly 206264.71 arc seconds.

1 radian = 206264.71 arc seconds

Since each radian contains 206264.71 arc seconds, we multiply our value by this factor:

1 × 206264.71 = 206264.71 arc seconds

So 1 radians = 206264.71 arc seconds.

Quick check: 206264.71 ÷ 206264.71 = 1 radians

How to Convert Radians to Arc Seconds

To convert radians to arc seconds, multiply the value by 206264.71.

The Formula

Arc Seconds = Radians × 206264.71

Key Fact

1 radian = 206264.71 arc seconds

Tip: To convert arc seconds back to radians, divide by 206264.71.

Example Conversions

Example 1: 1 rad = 206264.71
1 × 206264.71 = 206264.71
Example 2: 5 rad = 1031323.57
5 × 206264.71 = 1031323.57
Example 3: 10 rad = 2062647.15
10 × 206264.71 = 2062647.15

Radians to Arc Seconds Table

RadiansArc Seconds
1 rad206264.71
2 rad412529.43
5 rad1031323.57
10 rad2062647.15
20 rad4125294.3
25 rad5156617.87
50 rad10313235.75
100 rad20626471.5
250 rad51566178.75
500 rad103132357.49
1000 rad206264714.99

1 Radian in Other Units

Unit1 rad =
Radians to Degrees57.2958 °
Radians to Gradians63.662 grad
Radians to Turns0.15915 turn
Radians to Arc Minutes3437.74
Radians to Arc Seconds206264.71
Radians to Milliradians1000 mrad
Radians to Revolutions0.15915 rev
Radians to Quadrants0.63662 quad
Radians to Sextants0.95493 sext

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