1) Please Show Me How To Convert (-3)radian to Degree-Minutes-Second ?

1 Answer
Hari S.
Apr 27, 2018

-171° 53'13.2''

Explanation:

I'm assuming that for degrees and minutes you want integer values.
In general pi radians are 180 degrees.
so -3 radians are -3*180/pi degrees or -171.887339°

-171 is the closest integer so you have that many degrees.
But, you can't forget about the numbers after the decimal

There are 60 minutes of arc per degree, so
.887339°*60 = 53.24034 minutes of arc.
Again, we take the closest integer lower than our number, so 53 minutes. This is written as -171°53' and read as negative (or minus) 171 degrees, 53 minutes.

Just like in time, there are 60 seconds in a minute.
We have 0.24034 minutes we don't have in our incomplete answer, so we again multiply by 60.
60*0.24034 = 13.2 seconds of arc.
We write the complete answer as -171° 53'13.2'' and is read as negative (or minus) 171 degrees 53 minutes 13.2 seconds (saying of arc is optional)

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