Verified answer

This question is quite difficult to understand. But I think you might be asking how to change an angle expressed in degrees and minutes (74° 50') into radian measure.

First express 74° 50' as degrees with a decimal fraction. Since there are 60 minutes in a degree, 50 minutes is 50/60 = 0.833 deg. So we can write 74° 50' = 74.833deg.

Next a question of proportion. There are 360deg in a complete circle, and also 2*pi radians in a complete circle, so to convert 74.833deg to radians you perform this calculation : 74.833*2*pi/360 = 74.833*pi/180.

So there are 2 basic processes:

1) convert the angle to degrees with decimals instead of degrees and minutes

2) multiply the result from (1) by pi/180

Note that 74.833*pi/180 = 449*π/1080 = 0.416*pi, so this is probably the answer to your question, though I cannot see why anyone should want to express this angle in radians as 449*π/1080.