Question

convert 40degree 20minutes into radian

Answer 1

In the attachment I have answered this problem.

Before going to do this problem we must know the following ideas

1. 180 degrees = Pi radians

2. 1 degree = Pi/ 180 radians

3. 1 degree = 60 minutes

1/3 degrees = 20 minutes

See the attachment for detailed solution.

Answer 2

Solution :-

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

Answer.