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/3

Accepted Answer

Hey, everyone here, we are asked to determine the equivalent degree measure of pi divided by five. Here we have four answer choice options, answer choice, a 40 degrees. Answer B 54 degrees, answer C 45 degrees and answer D 36 degrees. So to begin this problem, we need to take our given radiant measure of pi divided by five. And we need to take this value and convert it from radiance to degrees. So to do this, we just multiply our value by 180 degrees divided by pi and now just rewriting our expression, we have pi multiplied by 180 degrees divided by pi multiplied by five. And now we can notice we have pi in both the numerator and the denominator. So the P cancel each other out. And so so far, we are left with 180 degrees divided by five. And now to simplify our fraction, we can notice that our value in the numerator, 180 has a factor of five. So our next step is to just factor out five from the numerator and doing this, we have five multiplied by 36 degrees divided by five. And now we can notice we have five in the numerator and the denominator. So they cancel each other out. And so we are left with our final simplified value of 36 degrees. And with this, we have converted our given radiant value to a degree measure. And so we are left with answer choice D where our final value is 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/3

Key Concepts

Radian Measure

Degree Measure

Conversion Between Radians and Degrees

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