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University of California, Berkeley

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Problem 11

Radians to Degrees In Exercises 11 and $12,$ convert the radian measure to degree measure.

$\begin{array}{lll}{\text { (a) } \frac{3 \pi}{2}} & {\text { (b) } \frac{7 \pi}{6}} & {\text { (c) }-\frac{7 \pi}{12}}\end{array} \quad$ (d) $-2.367$

Answer

(a) $270^{\circ}$

(b) $210^{\circ}$

(c) $-105^{\circ}$

(d) $-135.63^{\circ}$

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## Discussion

## Video Transcript

Okay, so we're asked to convert from radiant to the Greek. So what we're gonna do is if we have some radiant degree Alfa, we're gonna multiply it by 1 80 degrees over Pi to get our degrees A We have three pi over too. You multiply that by 1 80 degrees over pipes. Surprise, Cancel. And we're left with 2 72 Report me. We have seven pi over six. Multiply that by 1 80 degrees over pi and we get to 10 degrees. Report. See, we have made of seven ty over 12. Multiply that by 1 80 over pie and we get negative. One of five degrees party. We have negative. 2.367 Multiply that by 1 80 over pie and we get approximately negative Laundry. 5.63 degrees.

## Recommended Questions

Radians to Degrees In Exercises 11 and $12$ convert the radian measure to degree measure.

(a) $\frac{7 \pi}{3} \quad$ (b) $-\frac{11 \pi}{30}$ (c) $\frac{11 \pi}{6} \quad$ (d) 0.438

From Radians to Degrees Find the degree measure of the angle with the given radian measure.

$-\frac{13 \pi}{12}$

From Radians to Degrees Find the degree measure of the angle with the given radian measure.

$$

-\frac{13 \pi}{12}

$$

Rewrite each degree measure in radians and each radian measure in degrees.

$\frac{11 \pi}{4}$

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.

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

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.

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

Convert each radian measure to degrees.

$$\frac{11 \pi}{6}$$

From Radians to Degrees Find the degree measure of the angle with the given radian measure.

$-1.2$

From Radians to Degrees Find the degree measure of the angle with the given radian measure.

$$

-1.2

$$

In Exercises $21-28,$ convert each angle in radians to degrees.

$$

\frac{11 $$\frac{11 \pi}{6}=330^{\circ}$$\pi}{6}

$$