Question

Compare an angle having a measure of 120° With that of an angle whose measure is five pi over 6 rad explain your reasoning

Answer 1

Explanation:

et A=120°

and B=5Pi /6

Pi radians ---------> 180°

x<----------------------- 120°

so x =120 x Pi / 180 = 12 xPi / 18 = 2 Pi/3

so A = 2Pi / 3 radian

let 's compare A and B

we know that 5Pi /6 = 0.8 Pi and 2P/3= 0.6 Pi, 0.8>0.6,

finally 5Pi /6 > 2P/3

so B>A