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Question
Convert the following angles into radian:
65°30′
Solution
We know that, 180° = πc
∴ 1° = `(pi/180)^"c"`
65°30′ = 65° + 30'
= `65 + ((30)/60)^circ ...[because 1"'" = (1/60)^circ]`
= `65^circ + (1/2)^circ`
= `(65 + 1/2)^circ`
= `(131/2)^circ`
= `(131/2 xx pi/180)^"c"`
= `((131pi)/360)^"c"`
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