Convert each radian measure to degrees. See Examples 2(a) and ...

Question

Convert each radian measure to degrees. See Examples 2(a) and 2(b). ―π/6

Accepted Answer

Hey, everyone here we are asked to determine the equivalent degree measure of negative pi divided by five. Here we have four answer choice options, answer choice, A negative 40 degrees. Answer B negative 54 degrees, answer C negative 36 degrees and answer D negative 45 degrees. So to begin this problem, we want to start by taking our given value of negative pi divided by five and convert this value from radiance to degrees. So to do this, we just take our value and multiply it by 180 degrees divided by pi. Now just rearranging our expression, we have negative pi multiplied by 180 degrees divided by pi multiplied by five. And now we can begin reducing our expression. So we first can notice that we have pi in the numerator and the denominator. So both of the P cancel each other out. And so so far, we have negative 180 degrees divided by five. And now we just need to take 180 divided by five, which is 36. So our final value is negative 36 degrees. And with this final value we have determined our equivalent degree measure. So we are left here with answer choice C where again, we have the value negative 36 degrees. Thanks for watching. I hope you found this video helpful and I'll see you again next time.

Convert each radian measure to degrees. See Examples 2(a) and 2(b). ―π/6

Key Concepts

Radian Measure

Degree Measure

Conversion between Radians and Degrees

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