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.

330°

Accepted Answer

Welcome back. I am so glad you're here. We're told that the given angle is in degrees, express the angle in radiance and as a multiple of pi our given angle is degrees. Our answer choices are answer choice. A 53 pi divided by 30 radiant answer choice B 26 pi divided by 15 radiant answer choice. C 49 pi divided by 30 radiant and answer choice. D 32 pi divided by 15 radiant. All right, we recall from previous lessons that when we are converting from degrees to radiant, we are going to multiply our given angle in degrees by in the numerator, we're going to have pie ingredients and that's divided by, in the denominator 180 degrees because essentially pi radiance and 180 degrees are the same thing. It's like multiplying this by one. So now when we do that multiplication, the degrees cancel out and multiplying straight across in the numerator will have 318 pi and then we can put radiance right after our fraction instead of in the numerator. And the 318 pie is divided by in the denominator 180. Now it's just a matter of simplification. Both 318 and 180 are divisible by six. And when we do that simplification, we will have in the numerator 53 pi that's divided by, in the denominator 30. So 53 pi divided by radiance, we look at our answer choices and this matches with answer choice. A 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. 330°

Key Concepts

Degrees and Radians

Conversion Formula

Multiples of π

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