Convert each degree measure to radians. Leave answers as multiple...

Question

Convert each degree measure to radians. Leave answers as multiples of π. See Examples 1(a) and 1(b).  ​​                                                                                                                                                                                               
                                                                                                                                                                                                                                                                                                                                                                                 
 ―900°

Accepted Answer

Hey, everyone here we are asked to determine the equivalent radiant measure of negative 1620 degrees. Here we have four answer choice options, answer choice. A negative 12 pi answer B negative nine pi answer C negative eight pi and answer D negative six pi. So to begin this problem, we first need to take our given value of negative 1620 degrees. And we need to convert this degree value to radiance. And so we do this by multiplying the value by pi divided by 180 degrees. And now just rewriting our expression, we have negative 1620 degrees divided by 180 degrees multiplied by pi. And now we can notice that in the numerator and the denominator, we have this degree unit. So the degree units cancel each other out. And so so far we have negative 1620 divided by 180 multiplied by pi. And now to make our fraction easier to simplify, we can notice that our numerator value of 1620 has a factor of 180. So just factoring out 180 from our numerator, our expression becomes 180 multiplied by negative nine, divided by 180 multiplied by pi. And now we can notice that we have 180 in both the numerator and the denominator of our fraction. So they cancel each other out. And so we are left with our final simplified value of negative nine pi and with this final value, we have converted our given degree measure to a radiant measure. And so we are left with answer choice B where our value is negative nine pi Thanks for watching. I hope you found this video helpful and I'll see you again next time.

Convert each degree measure to radians. Leave answers as multiples of π. See Examples 1(a) and 1(b). ―900°

Key Concepts

Degree and Radian Measures

Conversion Formula

Multiples of π

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