Question

The radian measure of an angle that is 125°25'50" is ______.

A.) 2.19 radians
B.) 2.25 radians
C.) 2.20 radians
D.) 3.49 radians

Please provide an explanation if possible. Thanks. =)

Answer 1

radians = \(\bf \cfrac{degrees \times \pi}{180}\)

Answer 2

How do I convert 125°25'50" entirely into degrees?

Answer 3

keeping in mind that there are 60 seconds in 1 minute
so how many minutes in 50 seconds?

well, 50/60

Answer 4

think about it this way, if you had 60 secs, how many minutes are there in 60 seconds?
60/60 = 1min

Answer 5

so, you end up with 50/60 = 0.833
so you augment that to the "25" existing minutes already and you'd end up with 25.833 minutes

Answer 6

so how many degrees in 25.833 minutes?
well, there are 60 minutes in 1 degree
so you'd have 25.8333/60 degrees
you'd end up with another decimal amount, augment that to your degrees

Answer 7

So 125°25'50" = approx. 125.43°?

Answer 8

yes

Answer 9

plug that in, and you'd get your radians

Answer 10

Ah, I get 2.189 so it's A.

Answer 11

Thanks for your time! =)

Answer 12

:)

Answer 13

yw