Question

Convert the following angles in to radian :
1) 65°30′ ​

Answer 1

Answer:

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Answer 2

Answer:

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

Step-by-step explanation:

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

We have to convert angles into radian ?

Solution :  

Converting the expression into complete degree,

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

$65^\circ 30'=65+0.5$

$65^\circ 30'=65.5^\circ$

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

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

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

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