Question

find Radian Measure of 45°37'30''​

Answer 1

Answer:

5 degree 37 minute 30 second=0.098 Radians.

Explanation:

5°37'30"

First change the whole expression into the degree.

We know that the 1 minute=60 seconds.

So,30 second = 0.5 minutes.

1 degree=60 minutes

So, 37.5 minutes =0.625 degree

5°37'30"=5°+0.625°=5.625°

We know that the

\piπ Radians=180°

1\ Degree=\dfrac{\pi }{180}\ Radians1 Degree=

180

π

Radians ....................(1)

So,multiply equation (1) both sides by 5.625

we get,

5.625\ Degree=\dfrac{\pi\times 5.625 }{180}\ Radians5.625 Degree=

180

π×5.625

Radians

5.625\ Degree=0.098 Radians5.625 Degree=0.098Radians

So,

Answer 2

Answer:

5degree 37 minutes and 35 seconds =0.098 Radians