Question

convert angel in radian 65 30​

Answer 1

Here is your answer.

Answer:

The conversion is 65^\circ 30'=1.143\text{ radian}65

∘

30

′

=1.143 radian

Step-by-step explanation:

We have given the expression 65^\circ 30'65

∘

30

′

We have to convert angles into radian ?

Solution :

Converting the expression into complete degree,

65^\circ 30'=65+\frac{30}{60}65

∘

30

′

=65+

60

30

65^\circ 30'=65+0.565

∘

30

′

=65+0.5

65^\circ 30'=65.5^\circ65

∘

30

′

=65.5

∘

Now, Convert degree into radian by multiplying \frac{\pi}{180}

180

π

65.5^\circ=65.5\times \frac{\pi}{180}\text{ radian}65.5

∘

=65.5×

180

π

radian

65.5^\circ=1.143\text{ radian}65.5

∘

=1.143 radian

Therefore, The conversion is 65^\circ 30'=1.143\text{ radian}65

∘

30

′

=1.143 radian