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). 7π/4

Accepted Answer

Hey, everyone here, we are asked to determine the equivalent degree measure of five pi divided by six. Here we have four answer choice options, answer choice. A 150 degrees. Answer B 120 degrees, answer C 300 degrees and answer D 240 degrees. So to begin this problem, we first want to take our given value of five pi divided by six. And we want to convert this value from radiance to degrees. And 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 five, multiplied by 180 degrees divided by pi multiplied by six. And now just simplifying our expression. So far, we can notice that we have pi in the numerator and the denominator. So they cancel each other out. And so now are left with five multiplied by 180 degrees divided by six. And so to continue, further reducing our expression, we can now divide 180 degrees by our denominator here which is six. So 180 divided by six is 30. And so now we have five multiplied by 30 degrees and now just multiplying our values together, five multiplied by 30 is 150. And so we are left with 150 degrees. And with this final answer, we are left with answer choice. A where our degree measure comes out as the value 150. 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). 7π/4

Key Concepts

Radian Measure

Degree Measure

Conversion Between Radians and Degrees

Watch next