Question

Convert 65°30' in to radian?

Answer 1

Step-by-step 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

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Answer 2

To Solve :-

• $\rm{\implies Convert \: 65 \degree 30 ' \: into \: radian }$

Solution :-

We have to convert given angle into radian measure.

$\boxed{\rm{\implies (Degree ) \times \frac{\pi }{180} }}$

Firstly let's see 30'

$\rm{\implies \: 30' = \frac{30}{60} = \frac{1}{2} \degree }$

$\rm{\implies \: 65 \degree 30' = ( 65 \frac{1}{2} )\degree }$

$\rm{\implies \: 65 \degree 30' = ( \frac{131}{2} )\degree }$

Now using the above mentioned formula.

$\rm{\implies \: 65 \degree 30 ' = \frac{ 131}{2} \times \frac{\pi}{180} }$

$\rm{\implies \: 65 \degree 30' = [ {\frac{131 \pi }{360}}]^{c} }$

$\boxed{\rm{\implies \: Answer \: is \:[ {\frac{131 \pi}{360} }]^{c} }}$