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

Calculate the angle of (a) `1^(@)` (degree) (b) 1' (minute of arc or arcmin) and `("c")` 1" (second of arc or arc second ) in radians. Use `360^(@) = 2pi` rad, `1^(@)=60'` and 1'=60".

Text Solution

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(a) We have `360^(@) = 2pi "rad"`
`1^(@) = (pi//180) "rad" = 1.745 xx 10^(-2) "rad"`
(b) `1^(@) = 60. = 1.745 xx 10^(-2) "rad"`
`1.= 2.908 xx 10^(-4)"rad" = 2.91 xx 10^(-4) "rad"`
(c) `1. = 60.. = 2.908 xx 10^(-4) "rad"`
`1.. = 4.847 xx 10^(-6) "rad" = 4.85 xx 10^(-6) "rad"`
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