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

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

315º = 7/4π rad

b)

1º______π/180º

120º____x

$\begin{gathered} \frac{\pi}{180}=\frac{x}{120} \\ 120(\frac{\pi}{180})=x \\ x=\frac{120}{180}\pi \\ x=\frac{2}{3}\pi \end{gathered}$

120º = 2/3π rad