# How do you convert 36 (degrees) 32 (minutes) 34 (seconds) into radian measure?

May 6, 2015

we are given:
${36}^{o}$ 32'34"

converting:

1) minutes
$= \frac{32}{60} = 0.53 '$

2) seconds
$= \frac{34}{3600} = 0.0094$ "

these two values need to be added to ${36}^{o}$

$= {36}^{o} + 0.53 + 0.0094$

$= {36.5394}^{o}$

$\approx {36.54}^{o}$

$= {36.54}^{o} \times \left(\frac{\pi}{180}\right)$
$= 0.637$ radians