निम्नलिखित रेडियन माप के संगत डिग्री माप ज्ञात कीजिए (`pi = (22)/(7)` का प्रयोग करें)
(i) - 4 (ii) `(11)/(16)`

Explanation

(i) `(-4)^(C)=((180)/(pi)(-4))^(@)`
`=((180xx7)/(22)(-4))^(@) " "[because pi=(22)/(7)]`
`=-((2250)/(11))^(@)`
`=-[229^(@)+((1)/(11))^(@)]`
`=-[229^(@)+((1)/(11)xx60)^(')]" "[because 1^(@)=60^(')]`
`=-[229^(@)+5^(')+((5)/(11))^(')]`
`=-[229^(@)+5^(')+((5)/(11)xx60)^('')]" "[because 1'=60'']`
`=-[229^(@)+5'+((300)/(11))^('')]`
`=-229^(@)5'29''` (लगभग)
(ii) `because` 1 रेडियन `= (180^(@))/(pi)`
`therefore (11)/(16)` रेडियन `=(11)/(16)xx(180^(@))/(pi)`
`=(11)/(16)xx(7)/(22)xx180^(@)=(315^(@))/(8)`
`=39^(@)+((3)/(8))^(@)`
`=39^(@)+((3)/(8)xx60)'`
`=39^(@)+((45)/(2))'`
`=39^(@)+22'+((1)/(2))'`
`=39^(@)+22'+((1)/(2)xx60)^('')`
`=39^(@)+22'+30''`
`=39^(@)22'30''`