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Mathematics 19 Online
OpenStudy (anonymous):

are these angles acute, obtuse, right, or reflex? θ=200° θ=r/6

hero (hero):

What is r? radius?

hero (hero):

Did you mean pi/6?

OpenStudy (anonymous):

i think r is the radius, it has a cursive r/6 in the problem

OpenStudy (anonymous):

wait my fault, i think it is pi. sorry for the confusion. that was dumb of me

hero (hero):

If an angle is obtuse then it is greater than 90° If an angle is acute, then it is less than 90° If an angle is right, then it equals 90° If an angle is reflex, then it is between 180° and 360°

OpenStudy (anonymous):

yes i understand that part

OpenStudy (anonymous):

oh so if it is 200 degrees then it is reflex?

hero (hero):

Yes

OpenStudy (anonymous):

so pi/6 would be acute right?

OpenStudy (anonymous):

oh i see

OpenStudy (anonymous):

i have another one that says 5pi/3, that would be acute as well right?

hero (hero):

pi = 180 so 5(180)/3 = 5(60)

OpenStudy (anonymous):

oh so it would be 300, but why does pi=180?

OpenStudy (anonymous):

so it would be reflex

OpenStudy (anonymous):

@Hero

hero (hero):

Yes, correct

OpenStudy (anonymous):

thanks! is pi always 180 degrees?

hero (hero):

Yes

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