Question

Convert 40° 20' into radian measure.
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Answer 1

Answer:

40 degrees 20 minutes

1 degree = 60 minutes

1 degree = 60'

⇒ 40 degree 20'

⇒ 40 degree + 20'

⇒ 40° + 20°/60

⇒ 40° + 1°/3

⇒ (120 + 1)°/3

⇒ 121°/3

We know that Radian measure = π*degree measure/180

(22*121)/(7*180*3)

⇒ 2662/3780

= 0.704 radians