Compare an angle having a measure of 120° with that of an angle whose measure is 5pie/6 radians. Explain your reasoning
let 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
A measure of 120° with that of an angle whose measure is \(\frac{5\pi }{6}\) radians 0.8> 0.6.
Let angle having a measure of 120°
And B = \(\frac{5\pi }{6}\)
According to the question,
To convert from radians to degrees, multiply the radians by 180°π radians
π in radian = 180°
x = 120°
x = 120 x = 12 x =
So, A = radian
Let 's compare A and B
As we know that,
\(\frac{5\pi }{3}\) = 0.8 Pi
And \(\frac{2\pi }{3}\) = 0.6 Pi,
0.8 > 0.6
So, B>A
Hence, A measure of 120° with that of an angle whose measure is \(\frac{5\pi }{6}\) radians 0.8 > 0.6.
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