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/30

Accepted Answer

Welcome back. I am so glad you're here. We are asked to determine the equivalent degree measure of 19 pi divided by 30. And that's in radiance. Our answer choices are answer choice. A 99 degrees. Answer choice. B 89 degrees. Answer choice. C 114 degrees and answer choice. D 134 degrees. All right. So we're converting from radiance to degrees. That's unit conversion. We recall from previous lessons that to get from radiance two degrees, we're going to multiply our radiance by in the numerator 180 degrees and that's divided by pi radiance. Now we're going to multiply straight across, but we can see our pies will cancel out and our radiance units will cancel out. So in the numerators, we have 19 multiplied by 180 degrees which is 3420 degrees divided by and the denominator, all that's left is 33,420 degrees divided by 30 is 114 degrees. We look at our answer choices and that matches with answer choice. See, well done. We'll catch you on the next one

Convert each radian measure to degrees. See Examples 2(a) and 2(b). 11π/30

Key Concepts

Radian Measure

Degree Measure

Conversion Between Radians and Degrees

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