A. In number sense it is imperative to understand how to convert from radians to degrees and vice versa.
1. Convert Radians to Degrees:
radians x 180/p
2. Convert Degrees to Radians:
degrees x p/180
B. Examples:
Ex [1] 225o = _________(radians)
a. To convert to radians you should multiply by p/180.
b. You should only focus on 225/180 and write B after the fraction is reduced.
c. 225/180 = 5/4.
d. The answer is 5p/4.
Ex [2] 5p/9 = __________(degrees)
a. To convert to radians you should multiply by 180/p.
b. Since the B's cancel each other, we should only focus on 5/9 x 180 .
c. 5/9 x 180 = 5 x 20 = 100.
c. The answer is 100.