Question

convert 40°48' into radians

Answer 1

Answer:

17 / 75 π

Step-by-step explanation:

Given  

convert 40°48' into radians

We need to convert degree and minutes to radians .

We know that  

60 min = 1 degree

48 min = 48 / 60 = 4/5 degree

So 40 + 4/5 = 204 / 5 degree

We know that

180 degree = π radians

So 204 / 5 degree = 204 / 5 x π / 180

                          = 204 / 5 x π x 1 / 180

                         = π / 180 x 204 / 5

                        = 17 / 75 π radians.

Answer 2

Step-by-step explanation:

40 degree and 40minutes. 1degree = 60 minutes 40 + 48/60= 40+4/5. 200+4/5= (204/5) To convert into radian π/180. 204/5. =204/900. divided by 2. 102/450=51π/225