MHB Converting between arcseconds and radians

[viawilli]

Hi i need to convert 0.05 arcseconds into radians and am not sure where to start any help is appreciated. thanks

 

[MarkFL]

You could use:

$$\theta''=\theta''\cdot\frac{1'}{60''}\cdot\frac{1^{\circ}}{60'}\cdot\frac{\pi\text{ rad}}{180^{\circ}}=\frac{\pi}{648000}\theta\text{ rad}$$

Do you see how I used the fact that there are 60 arc seconds per 1 arc minute, 60 arc minutes per degree and 180 degrees per $\pi$ radians to construct 3 fractions all equal to 1 which I then multiplied with the original angle $\theta$, given in arc seconds, to obtain a conversion factor of $$\frac{\pi}{648000}$$?

 

[GeraldArgue]

You convert arcseconds and radians by using the specific formula. Like
0.05 arcseconds=2.42406841 × 10-7 radians.
The above is one method to convert, another method is you can also use convertin, which is used to convert the units online. By this you can quickly perform the conversion problems.