Calculate the angle of
(i) `1^(@)` (degree)
(ii) `1^(@)` (minute of arc or arc minute) and
(iii) `1^(@)` (second of arc or arc sec)
in radian.(Use `360^(@)=2pi rad`,`1^(@) = 60^(@)` and `1^(')=60^(@)` and `1^(')=60^(''))`

Explanation

(I) `1^(@)-(2pi)/(360)rad=(pi)/(180)rad=(22)/(7xx180)rad=1.746xx10^(-2)rad`
(ii) 1 arc min = `1^(')=(1^(@))/(60)=(1)/(60)xx(pi)/(180)rad=2.91xx10^(-4)rad`
(iii) 1 arc sec= `1^(')(1^(@))/(60)=(1^(@))/(60xx60)=(1)/(60xx60)xx(pi)/(180)=rad`
`4.85xx10^(-6)rad`