Question

Explain the conversion of angle in degrees, minutes and seconds into radian

Answer 1

1 degree = π/180 radian.

1 minute =1/60°

1 second =(1/3600°)

E.g

Converting of 36° 32' 34 " into radian.

First convert minute and second into degree and then convert total degree into radian

1) minutes (32')
=32/60°=0.53°

2) seconds (34")
=34/3600°=0.0094°

these two values need to be added to 36°

=36°+0.53°+0.0094°

=36.5394°

≈36.54°

converting total degree value to radians:
=36.54°×(π/180)

=0.637 radians