Convert the following radian measure to degree measures.
(a) `pi/8` radian
(b) 5 radian

Explanation

(a ) We know that, `pi` radian `=180^(@)`
`therefore pi/8` "radian" `=180 /pi xx pi/8= (45/2)^(@)`
`=22 (1/2)^(@)`
`=22^(@)(1/2 xx 60)`
`=22^(@)30'`
(ii) 5 radian `=(180/pi xx 5)^(@)`
`=((180 xx 7 xx 5)/(22))^(@) = (3150/11)^(@)=286 (4/11)^(@)`
`=286^(@)(4/11 xx 60)^(')= 286^(@)(240/11)^(')`
`=286^(@)21(9/11)^(')=286^(@)21^(')(9/11 xx 60)^(')`
`=286^(2)1^(')49^('')`
( c) `(-2)` radian `=-2` radian
`therefore 2` radian `=(180/pi xx 2)^(@) = ((180 xx 7 xx 2)/(22))^(@)`
`=114 (6/11)^(@)= 114^(@) (6/11 xx 60)^(')`
`114^(@)32'44''`
`therefore -2` radian `=-(114^(@)32'44'')`