Convert each degree measure to radians. If applicable, round t...

Question

Convert each degree measure to radians. If applicable, round to the nearest thousandth. See Example 1(c).

64.29°

Accepted Answer

Welcome back. I am so glad you're here. We are told to determine the equivalent radiant measure of 72.38 degrees express the answer to the nearest 1000th. Our answer choices are answer choice. A 3.263. Answer choice B 2.527. Answer choice C 0.875 and answer choice. D 1.263. All right. We recall from previous lessons that when we are given an angle in degrees and we want to convert it to radiance, we're going to use unit conversion. We're going to multiply it by, in the numerator, we'll have pi radiance divided by, in the denominator 180 degrees. And here now our degrees cancel out and we can multiply straight across in the numerator. 72.38 multiplied by pi is 72.38 pi that's divided by 180. And then our unit is radiance. Now, we are asked to round our n answer to the nearest 1000th. So you can plug that into your calculator. 72.38 pi divided by 180. And you'll get something like 1.2632. And that'll keep going. The 1000th place is the third decimal place. So this three looks to the two, it's going to remain a three. So we have 1.263 and our unit is radiance and there is the equivalent radiant measure of 72.38 degrees. We look at our answer choices and this matches with answer choice. D well done. We'll catch you on the next one.

Struggling with Trigonometry?

Convert each degree measure to radians. If applicable, round to the nearest thousandth. See Example 1(c).

64.29°

Watch next

Complementary and Supplementary Angles practice set

Struggling with Trigonometry?

Convert each degree measure to radians. If applicable, round to the nearest thousandth. See Example 1(c).64.29°

Watch next

Complementary and Supplementary Angles practice set

Convert each degree measure to radians. If applicable, round to the nearest thousandth. See Example 1(c).

64.29°