Question

What is the radian measure of an angle that is 105 degrees 32' 45'' ?

Answer 1

convert 105 degrees 32' 45'' to degrees first.
3600'' = 1 degree.
45'' = 45/3600 degree

60' = 1 degree
32' = 32/60 degree

105 degrees 32' 45'' = 105 + 32/60 + 45/3600 degrees. Simplify. (1)

180 degrees = pi radians
x degrees = x * pi/180 radians.

Multiply what you get in step (1) by pi/180 to get convert to radians.

Answer 2

so its false?

Answer 3

@ranga

Answer 4

I don't think this is a true or false question. It is asking you to convert from degrees to radians.
105 degrees 32' 45'' = 105 + 32/60 + 45/3600 = 105.5458 degrees

To convert degrees to radians, multiply by pi/180:
105.5458 * pi / 180 = 1.8421 radians.