In: Physics
Express the following angles in radians: (a) 30.0°, (b) 45.0°, (c) 60.0°, (d) 180.0°, and (e) 390°. Give as numerical values AND as fraction of π.
360o = 2 radians
1o = 2/360 radians
a)
30o = 30 x (2/360) = /6 = 0.523 radians
30o = /6 radians
30o = 0.523 radians
b)
45o = 45 x (2/360) = /4 = 0.785 radians
45o = /4 radians
45o = 0.785 radians
c)
60o = 60 x (2/360) = /3 = 1.047 radians
60o = /3 radians
60o = 1.047 radians
d)
180o = 180 x (2/360) = = 3.141 radians
180o = radians
180o = 3.141 radians
e)
390o = 390 x (2/360) = 13/6 = 6.806 radians
390o = 13/6 radians
390o = 6.806 radians