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).

85.04°

Accepted Answer

Welcome back. I am so glad you're here. We're asked to determine the equivalent radiant measure of 66.08 degrees. Express the answer to the nearest 1000th. Our answer choices are answer choice. A 1.153 answer choice. B 3.153. Answer choice C 2.307 and answer choice D 0.769. All right. We recall from previous lessons that when we are converting from degrees to radiance, we're going to multiply our degrees by, in the numerator, we'll have pie radiance and that's divided by in the denominator 180 degrees. And with this unit conversion, now our degrees units cancel out. We can multiply straight across. We have 66.08 multiplied by pi so that's 66.08 pi divided by 180 in the denominator. And these are radiant. We're asked to express the answer to the nearest 1000th. So you can plug 66.08 pi divided by 180 into your calculator. You get an answer something like 1.1533 and that keeps going rounding to the 1000th place, that's the third decimal place. So this three looks at this three and it decides to remain a three. So we have 1.153 radiance and that is the equivalent radiant measure of 66.08 degrees. We look at our answer choices and this matches with answer choice. A 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).

85.04°

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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).85.04°

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).

85.04°