Question

Convert angles into radian 65degree 30 '

Answer 1

Answer:

The answer will be 131/360 π radians

Explanation:

To convert from degree to radian we follow the below steps:

As we all know,

1°= 60 min

Then to convert  65degree 30 '

65°+ 30'

=65°+30°/60

=65°+1/2

=(130+1)/2

=(131/2)°

To convert radian from degree

radian = π/180 x degree

          =π/180 ° x (131/2)°

         =131/360 π radians

Answer 2

Answer:

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

Explanation:

Given : Expression $65^\circ 30'$

To find : convert angles into radian ?

Solution :

First we convert 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 $65^\circ 30'=1.143\text{ radian}$