Question

ME AJUDEM POR FAVOR!!

1) converta em radianos

a)30°
b)60°
c)100°
d)120°
e)150°
f)300°

Answer 1

a)30° = 30° x π/180 = 30°π/180 = 30°π:30/180:30 = 1π/6 = 1/6π radians

b)60° = 60° x π/180 = 60°π/180 = 60°π:60/180:60 = 1π/3 = 1/3π radians 

c)100° = 100° x π/180 = 100°π/180 = 100°π:20/180:20 = 5π/3 = 5/3π radians

d)120° = 120° x  π/180 = 120°π/180 = 120°π:60/180:60 = 2π/3 = 2/3π radians

e)150° = 150° x π/180 = 150°π/180 = 150°π :30/180:30 = 5π/6 = 5/6π radians

f)300° = 300° x π180 = 300°π/180 = 300°π:60/180:60 = 5π/3 = 5/3π radians

Answer 2

circunferência ⇒ 360° ⇒ 2π rad
                           180° ⇒ π rad
então
a)
180 ⇒ π
  30 ⇒ x   ⇒ x = _30π_ ⇒ x  = _π_ rad
                            180                 6
b)
180  ⇒  π
 60   ⇒  x  ⇒ x =  _60π__ ⇒ x =  _π_rad
                              180                   3
c)
180  ⇒  π
100  ⇒ x   ⇒ x = _100π_ ⇒ x = _5π_ rad
                              180                 9
d)
180 ⇒ π
120 ⇒ x  ⇒ x = _120π_ ⇒ x = _2π_rad
                            180                 3
e)
180 ⇒ π
150 ⇒ x  ⇒ x = _150π_ ⇒ x = _5π_rad
                            180                 6
f)
180 ⇒ π
300 ⇒ x  ⇒ x = _300π_ ⇒ x = _5π_rad
                           180                   3