How do you find #47^@30'# in radians?

1 Answer
Jan 28, 2017

#47^@30'# is equal to #(19pi)/72=0.829# radians

Explanation:

As there are #60# minutes, writtten as #60'#, in each degree,

Therefore, #47^@30'=(47+30/60)^@=47.5^@#

Now as #180^@# is equal to #pi# radians

#1^@# is equal to #pi/180# radians

and #47.5^@# is equal to #pi/180xx47.5=(19pi)/72=0.829# radians