Question

What is 6 radians in DMS? 1080 degrees? 360 degrees? 343 degrees 46 minutes and 29 seconds? What would be the appropriate answer for using MyMathLabs, if you are aware of how the program functions?

Answer 1

What is 6 radians in DMS? 1080 degrees? 360 degrees? 343 degrees 46 minutes and 29 seconds? What would be the appropriate answer for using MyMathLabs, if you are aware of how the program functions?

What is 6 radians in DMS?

1 π radian = 180 degrees

This equates 1 radian to 180/π degrees.

So 6 radians = 6 · 180/π = 1080/π = 343.774677 degrees to 6 dp

To convert to degrees minutes and seconds:

343 is the degrees

0.774677 · 60 = 46.48062 so 46 minutes

0.48062 · 60 = 28.8372 seconds

So we get: 343 degrees 46 minutes 28.8372 seconds

1080 degrees in DMS is 1080 degrees

360 degrees in DMS is 260 degrees

343 degrees 46 minutes and 29 seconds in DMS is 343 degrees 46 minutes and 29 seconds.