Calculate the angle of (a) 1^(@) (degree...

Calculate the angle of (a) `1^(@)` (degree) (b) 1' (minute of arc of are min) and (c ) 1''(secondof arc of arc sec) in radian. Use `360^@ =2 pi rad., 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 cong 2.91xx10^(-4) rad`
(c) `1'=60''=2.908xx10^(-4) rad`
`1''=4.847xx10^(-4) rad cong 4.85xx10^(-6) rad`

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Calulate the angle of 1" (secondof arc or arc sec) in radian. (Use 360^(@)=2pi rad, 1^(@)=60'and1'=60 ")

`4.85xx10^(-6)`rad

`4.85xx10^(6)`rad

`4.85xx10^(5)`rad

`4.85xx10^(-5)`rad

The angle of 1' (minute of arc) in radian is nearly equal to

`2.91 x 10^-4 rad`

`4.85 x 10^-4 rad`

`4.80 x 10^-6 rad`

`1.75 x 10^-2 rad`

The angle of 1'(minute of arc) in radian is nearly equal to

`4.85 xx 10^(-4) rad`

`4.80 xx 10^(-6) rad`

`1.75 xx 10^(-2) rad`

`2.91 xx 10^(-4) rad`