Question

convert each angle in degrees to radians. Express your answer as a multiple of pie. 120 degrees

Answer 1

360 degrees = 2 pi
120 degrees = ? pi

Answer 2

just multiply the degrees by pi/180
\[\huge 120^o \implies 120 \times \frac{\pi}{180}\]

Answer 3

@lgbasallote I keep getting the answer wrong.

Answer 4

why so? \[\huge 120 \times \frac{\pi}{180} \implies \frac{120}{180} \times \pi \implies \frac 23 \times \pi \implies \frac{2\pi}{3}\]
is that what you're getting?

Answer 5

@lgbasallote can you explain what you did to get 2/3. I know you multiply but how 120/180xpie = 2/3

Answer 6

\[\huge \frac{120}{180} \implies \frac{60 \times 2}{60 \times 3} \implies \frac{\cancel{60} \times 2}{\cancel{60} \times 3} \implies \frac 23\]