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Calculate the angle in radians of (i)...

Calculate the angle in radians 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^(''))`

Text Solution

Verified by Experts

(a) We have `360^(@)=2pi` rad
`1^(@) = (pi//180)`rad = `1.745xx10^(-2)` rad
(b) `1^(@) = 60. = 1.745xx10^(-2)` rad
`1.=2.908xx10^(-4)` rad `~= 2.91xx10^(-4)` rad
`("c") 1.=60" = 2.908xx10^(-4)` rad
`1" = 4.847xx10^(-4)` rad `~= 4.85xx10^(-6)` rad
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