Question

37°30' into radians the answer is 5π/24​

Answer 1

Explanation:

Our angle is = 5° 37' 30"

For 30''

We know 1' = 60''

So, 30'' = 1/60 * 30 = 0.5'

So our angle will be = 5° 37.5'

Now we know, 1° = 60'

So, 37.5' = 1/60 * 37.5 = 0.625°

So our angle is = 5.625°

To convert the angle into radians, we know

1° = π / 180 radians

So, 5.625° = 5.625 x π/180

Taking π as 3.14, we get

5.625 x 3.14 / 180 = 0.098125 radians