In Exercises 13–20, convert each angle in degrees to radians. Exp...

Question

In Exercises 13–20, convert each angle in degrees to radians. Express your answer as a multiple of 𝜋.

-270°

Accepted Answer

Welcome back. I am so glad you're here. We're told the given angle is in degrees, express the angle in radians and as multiple of pi, our given angle is negative degrees. Our answer choices are answer choice. A negative 62 pi divided by radians. Answer choice B negative 22 pi divided by radiant answer choice C negative 71 pi divided by 45 radians and answer choice D negative 41 pi divided by radians. All right. So we recall from previous lessons that when we're starting in degrees in order to convert to radians, we are going to multiply our given angle in degrees by pie radiance in the numerator divided by degrees and our degrees units cancel out. So essentially just multiplying straight across our numerators, we have a negative 284 pi and that's radiance, this whole thing, we can put the radiance after and the negative 284 pi is divided by 180. Now, it's just a matter of simplification. Well, both 284 and 180 are divisible by four. So when we divide negative 284 by four, we get a negative 71. Don't forget the pi that's divided by 180 divided by four is 45 still retaining our Radians label. So we've got a negative 71 pi divided by 45 radiations. We look at our answer choices and this matches with answer choice. C well done. We'll catch you on the next one.

In Exercises 13–20, convert each angle in degrees to radians. Express your answer as a multiple of 𝜋. -270°

Key Concepts

Degrees and Radians

Conversion Formula

Negative Angles

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