Question

Convert each measure to radians and state answer in terms of pi.
a.) 40(degrees)

b.) -570(degrees)

Answer 1

I'll do the first one to get you started

a) 40 degrees

multiply the given degree measurement by pi/180 to convert to radian mode

40*(pi/180) = 40pi/180 = (40/180)pi = (2/9)pi = 2pi/9

so \[\Large 40^{\circ} = \frac{2\pi}{9} \text{radians}\]

Answer 2

ok idk where half that came from? can you break it down so i can do the next one?

Answer 3

which steps are throwing you off?

Answer 4

Let's do another example

say 15 degrees

Answer 5

multiply by the fraction pi/180