Question

Convert 65°30'into radian

Answer 1

Answer:

$\frac{131}{360} \pi$

Step-by-step explanation:

1° = 60'

∴ 65° + 30'

= 65° + $\frac{30}{60}$

= 65° + $\frac{1}{2}$

= $\frac{130+1}{2}$

= $\frac{131}{2}$

Now, to convert degree into radian:

Radian = $\frac{\pi }{180}$ × degree

            = $\frac{\pi }{180}$ × $\frac{131}{2}$

            = $\frac{131}{360} \pi$