Convert each radian measure to degree. Write your answer to the nearest second.

Question

1. 3.2

2. 3pi

3. 2pi/3

4. 6

5. -4.15

Answer 1

1 radian=180º/∏ or 180/3.14159=57.295828º

1) 3.2 radians

(3.2)(57.295828)=183.34665º

using only 0.34665º

(0.34665)(60)=20.799'

(0.34665-20/60)(3600)=(0.34665-0.33333)(3600)

(0.01332)(3600)=47.952" or 48"

183º 20' 48"

 

4) 6 radians

6(180/3.14159)=6(57.295828)=343.77497º

using only 0.77497º

(0.77497)(60)=46.4982'

(0.77497-[46/60])(3600)=(0.77497-0.76666)(3600)

(0.00831)(3600)=29.916" or 30"

343º 46' 30"

 

you can try the others