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.

18°

Accepted Answer

Welcome back. I am so glad you're here. We're told the given angle is in degrees, express the angle in radiance and is a multiple of pi our given angle is 38 degrees. Our answer choices are answer choice. A two pi divided by 17 radians. Answer choice B seven pi divided by 45 radiant answer choice. C pi divided by five radiant and answer choice. D 19 pi divided by 90 radiant. All right, we recall from previous lessons that when we are converting from degrees to radiations, we are going to multiply or give an angle and degrees by the fraction. In the numerator, we have pi radians and in the denominator, we have 180 degrees because pi radians and 180 degrees are essentially the same thing. And so that's like multiplying by one when we multiply straight across the degrees cancel out. And now in a, in our numerator, we have 38 pi and we can put radiance right after the fraction and 38 pi is divided by and the denominator 180. Now it's just a matter of simplification. So 38 180 are both divisible by two. And when we do that, simplifying in the numerator, we'll have 19 pi that's divided by, in the denominator 90. So 19 pi divided by 90 radians, we look at our answer choices and this matches with answer choice. D 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. 18°

Key Concepts

Degrees and Radians

Conversion Formula

Multiples of π

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