Question

Convert into radian
a) 40°30'30"​

Answer 1

Step-by-step explanation:

40° = 60 × 40 '

= 240' + 30'

= 270'

270' × 60

16,200 '' + 30

16,230'' ....

Take care...

Answer 2

Solution :

$\sf{\implies {\dfrac{4861 }{21600}}^{c}}$

Step by step explanation :

We have to convert 40°30'30" into radian

$\sf{\implies 30" = \dfrac{1}{2}' }$

$\sf{\implies 30'30" = 30' + \dfrac{1}{2}' }$

$\sf{\implies 30' 30" = \dfrac{61}{2}' }$

Now converting minutes into degree

$\sf{\implies \dfrac{61}{2}' = \dfrac{61}{2} \times \dfrac{1}{60} }$

$\sf{\implies \dfrac{61}{120} }$

$\sf{\implies 40 + \dfrac{61}{120} = \dfrac{4861}{120}\ degree }$

Now converting the degree into radian.

$\sf{\implies \dfrac{4861 \times \pi }{120 \times 180}' }$

$\sf{\implies {\dfrac{4861 }{21600}}^{c}}$