Sunday, December 25, 2011

degrees and radians

Convert 12.22 degrees to degrees mins and secs.
.22*60=13.2
.2*60=12
12 degrees 13 minutes 12 seconds

 Convert 20 degrees 20 minutes 6 seconds to degrees.
20+20/60+6/3600=20.335 degrees

Convert 196 degrees to radians.
196 degrees* pie/180=49/45pie

To convert to minutes you take what is behind the decimal and multiply by 60.  To convert to seconds you take what is behind the decimal in the minutes and multiply it by 60.  In the first problem I took the .22 and multiplied it by 60 and got 13.2.  Now you take the .2 and multiply that by 60 and you get 12.  So now you put it together and your answer is 12 degrees 13 minutes and 12 seconds.  To convert from minutes and seconds to degrees you have to divide the minutes by 60 and the seconds by 3600 and you get 20.335 degrees.  To convert 196 degrees to radians, you have to multiply that number by pie/180.  In the third problem, I multiplied 196 degrees times pie/180 and I got 49/45 pie as my answer.

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