Question

find the radian measure corresponding to the following degree measure :
1. 25 degree
2. -47 degree 30'​

Answer 1

$→\sf\bold{\underline{\pink{25°\:in\: Radian}}}$

$\large\sf\dfrac{π}{180} × 25° = \dfrac{5π}{36}$

$→\sf\bold{\underline{\pink{-47°30'\: in \:Radian}}}$

$\large\sf{- [ 47° + \dfrac{30}{60} ] × \dfrac{π}{180}}$

$\large\sf{- [ 47° + \dfrac{1}{2} ] × \dfrac{π}{180}}$

$\large\sf{- [ \dfrac{95}{2} ] × \dfrac{π}{180}}$

$-\sf\dfrac{19π}{72}$