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convert the following angles to degrees minutes and seconds 0.4 and 1.6

 Jul 8, 2014

Best Answer 

 #1
avatar+33658 
+5

To convert from radians (which is what I assume the 0.4 and 1.6 are) to degrees, multiply by 180/pi.

So: 

0.4×180π=22.9183118052329284 

This is 22° plus 0.9183118...°

There are 60' in 1° so 

0.9183118052329284×60=55.098708313975704

This is 55' plus 0.0987...'

There are 60'' in 1' so

0.098708313975704×60=5.92249883854224

This is 6'' to the nearest second.

Therefore 0.4 radians is 22° 55' 6'' to the nearest second.

 

Now you try converting 1.6 radians.

 Jul 8, 2014
 #1
avatar+33658 
+5
Best Answer

To convert from radians (which is what I assume the 0.4 and 1.6 are) to degrees, multiply by 180/pi.

So: 

0.4×180π=22.9183118052329284 

This is 22° plus 0.9183118...°

There are 60' in 1° so 

0.9183118052329284×60=55.098708313975704

This is 55' plus 0.0987...'

There are 60'' in 1' so

0.098708313975704×60=5.92249883854224

This is 6'' to the nearest second.

Therefore 0.4 radians is 22° 55' 6'' to the nearest second.

 

Now you try converting 1.6 radians.

Alan Jul 8, 2014

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