Question

convert the following angles in to radian 65°30'​

Answer 1

Answer:

$\frac{131}{360} \pi$

Step-by-step explanation:

1° = 60'

∴ 65° + 30'

= 65° + $\frac{30}{60}$

= 65° + $\frac{1}{2}$

= $\frac{130+1}{2}$

= $\frac{131}{2}$

Now, to convert degree into radian:

Radian = $\frac{\pi }{180}$ × degree

            = $\frac{\pi }{180}$ × $\frac{131}{2}$

            = $\frac{131}{360} \pi$

Answer 2

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The conversion is 65°30'=1.143 radian

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Expression 65°30'

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convert angles into radian ?

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First we convert the expression into complete degree,

65°30'=65+30/60

65°30'=65+0.5

65°30'=65.5°

Now, Convert degree into radian by multiplying π/180

65.5°=65.5*π/180 radian

65.5°=1.143 radian

Therefore, The conversion is

65°30'=1.143 radian