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
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(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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Knowledge Check
Calulate the angle of 1" (secondof arc or arc sec) in radian. (Use 360^(@)=2pi rad, 1^(@)=60'and1'=60 ")
A
`4.85xx10^(-6)`rad
B
`4.85xx10^(6)`rad
C
`4.85xx10^(5)`rad
D
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A
`2.91 x 10^-4 rad`
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