Find the degree measures corresponding to the following radian measures (Useπ=227).
(i) 1116
(ii) −4
(iii) 5π3
(iv) 7π6
We know that π radian =180∘
(i) ∴1116radian=180π×1116degree=45×11×722×4degree=3938
degree
=39∘+3×608 minutes ,[∵1∘=60′]
=39∘+22′+12 minutes
=39∘22′30′′ ,[∵1′=60′′](ii)∴−4radian=180π×(−4)degree=180×7(−4)22degree=−229111 degree
=−229∘+1×6011 minutes ,[∵1∘=60′]
=−229∘+5′+511 minutes
=−229∘5′27′′ ,[∵1′=60′′]
(iii)∴5π3radian=180π×5π3degree
=300∘
(iv) ∴7π6radian=180π×7π6degree=210∘