Question

Rewrite each angle in radian measure as of multiple of π( do not use calculator)

Answer 1

To convert a measure from degrees to radians you have to keep in mind that 1º degree is equal to π/180º

a)

To transform the given measures you can use cross multiplication

1º_____π/180º

315º___ x

`\begin{gathered} ((\pi)/(180))/(1)=(x)/(315) \\ (\pi)/(180)=(x)/(315) \\ 315((\pi)/(180))=x \\ x=(315)/(180)\pi \\ x=(7)/(4)\pi \end{gathered}`

315º = 7/4π rad

b)

1º______π/180º

120º____x

`\begin{gathered} (\pi)/(180)=(x)/(120) \\ 120((\pi)/(180))=x \\ x=(120)/(180)\pi \\ x=(2)/(3)\pi \end{gathered}`

120º = 2/3π rad