Question

Convert each measure to radians and state answer in terms of pi. a.) 40(degrees) b.) -570(degrees)

Answer 1

360 degrees=2pi radians

therefor set up a ratio and proportiopn

a.
360/2pi=40/x
times 2pix both sides
360x=80pi
divide both sides by 360
x=(2pi)/9 radians


b.
360/2pi=-570/x
times 2pix both sides
360x=-1140pi
divide boh sides by 360
x=-(19pi)/6 radians



a. (9pi)/2 radians
b. (-19pi)/6 radians