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

Question

Convert each radian measure to degrees. See Examples 2(a) and 2(b).   ​​                                                                                                                                                                                                                                                        
                                                                                                                                                                                                                                                                                                                                                                        
  11π/6

Accepted Answer

Hey, everyone. Here, we are asked to determine the equivalent degree measure of 13 pi divided by nine. Here we have four answer choice options, answer choice. A 170 degrees. Answer B 260 degrees. Answer C 240 degrees and answer D 190 degrees. So to begin this problem, we first want to take our given value of 13 pi divided by nine. And we need 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 so now just rewriting our expression, we have pi multiplied by 13, multiplied by 180 degrees divided by pi multiplied by nine. And now to simplify our expression, we can first notice that we have pi in both the numerator and the denominator. So both of the pi values cancel each other out. And so so far, we are left with 13, multiplied by 180 degrees divided by nine. And now to further reduce our expression, we want to divide 180 degrees by nine. And so taking 180 divided by nine, we have 20. And so our expression becomes 13, multiplied by 20 degrees. And now just multiplying our two values together, we have 260 degrees as our final degree measure. And with this final value, we are left with answer choice B where again, our final value is 260 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). 11π/6

Key Concepts

Radian Measure

Degree Measure

Conversion Formula

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