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).                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                     ―7π/20

Accepted Answer

Welcome back. I am so glad you're here. We are asked to determine the equivalent degree measure of negative nine pi divided by 20. And that is in radiance. Our answer choices are answer choice. A negative 91 degrees. Answer choice B negative 81 degrees. Answer choice C negative 89 degrees and answer choice D negative 79 degrees. All right. So we're doing unit conversion from radiance to degrees. And we recall from previous lessons to convert from radiance to degrees. We're going to multiply our radiance by in the numerator 180 degrees. And that's divided by in the denominator pi radiance. And now we're just multiplying straight across. We see that our pies cancel out and our radiance units cancel out. And in the numerator we're taking negative nine multiplied by 180 degrees. And that's a negative 1620 degrees divided by, in the denominator. All that's left is 20 and negative 1620 divided by 20 is a negative 81 and that's in degrees. So we look at our answer choices for negative 81 degrees and that matches with answer choice B well done. We'll catch you on the next one.

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Convert each radian measure to degrees. See Examples 2(a) and 2(b). ―7π/20

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