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University of California, Berkeley

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Problem 9

Degrees to Radians In Exercises 9 and 10, convert the degree measure to radian measure as a multiple of $\pi$ and as a decimal accurate to three decimal places.

$\begin{array}{lll}{\text { (a) }-20^{\circ}} & {\text { (b) }-240^{\circ}} & {\text { (c) }-270^{\circ}} & {\text { (d) } 144^{\circ}}\end{array}$

Answer

(a) $\frac{\pi}{6}$ radian

(b) $\frac{5 \pi}{6}$ radian

(c) 5$\cdot 498 \mathrm{rad}$

(d) $\frac{2 \pi}{3}$ rodian

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## Discussion

## Video Transcript

Okay, so for the question, we're asked to convert degrees Radiance. So in order to do that, if we have, um, degree So it caught Alfa. All we have to do is more quite doubtful by pi over 1 80 The reason to turn it into a radio. So for part eight, we have 30 degrees. We're gonna multiply that by pi over 1 80 the great. And we would get pie part being we have 1 50 kind that buy pot holder 1 80 Who would get by by over six part. See, we have a briefing in the reeds times that by pi over 1 80 degrees, that would give a seven hi point and not 34 party. We have 1 20 degrees. Time's up by pi over 1 80 degrees and we would get to pi over

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