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/15

Accepted Answer

Hey, everyone. Here, we are asked to determine the equivalent degree measure of 13 pi divided by 18. Here we have four answer choice options, answer choice. A 130 degrees. Answer B 160 degrees, answer C 220 degrees and answer D 250 degrees. So to begin this problem, we first want to take our given value of 13 pi divided by 18. And we need to convert this value from radiance to degrees. So to do this, we just multiply our value by 180 degrees divided by pi now just rearranging our expression, we have pi multiplied by 13, multiplied by 180 degrees divided by pi multiplied by 18. And now we can begin reducing our expression. So first, we want to notice that we have a pi term in both the numerator and the denominator. So we know that both of these terms will cancel each other out. And therefore we are left with so far 13 multiplied by 180 degrees divided by 18. And now we want to continue to reduce our expression. So we need to take our 180 degrees and divide it by our denominator value of 18 and so 180 divided by 18 gives us 10. Therefore, our expression is now 13 multiplied by 10 degrees. And now our last step is to just multiply our values together. So 13 multiplied by 10 is 130. Therefore, our final answer is 130 degrees. And with this final value, we are left with answer choice. A where again, our value is 130 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/15

Key Concepts

Radian Measure

Degree Measure

Conversion Formula

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