# Trigonometry : Radians and Conversions

## Example Questions

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### Example Question #1 : Radians And Conversions

Change  angle to degrees.

Possible Answers:

Correct answer:

Explanation:

In order to change an angle into degrees, you must multiply the radian by .

Therefore, to solve:

### Example Question #2 : Radians And Conversions

Give in radians:

Possible Answers:

Correct answer:

Explanation:

First we need to convert degrees to radians by multiplying by :

Now we can write:

### Example Question #3 : Radians And Conversions

Give in radians:

Possible Answers:

Correct answer:

Explanation:

First we need to convert degrees to radians by multiplying by :

Now we can write:

### Example Question #19 : Unit Circle And Radians

Give in degrees:

Possible Answers:

Correct answer:

Explanation:

First we can find in radians:

To change radians to degrees we need to multiply radians by . So we can write:

### Example Question #4 : Radians And Conversions

Give in degrees:

Possible Answers:

Correct answer:

Explanation:

First we can find in radians:

To change radians to degrees we need to multiply radians by . So we can write:

### Example Question #5 : Radians And Conversions

Give in radians:

Possible Answers:

Correct answer:

Explanation:

First we need to convert to radians by multiplying by :

Now we can solve the following equation for :

### Example Question #6 : Radians And Conversions

Give in degrees:

Possible Answers:

Correct answer:

Explanation:

First we can find in radians:

To change radians to degrees we need to multiply radians by . So we can write:

### Example Question #7 : Radians And Conversions

Convert the angle  into degrees.

Possible Answers:

Correct answer:

Explanation:

To convert radians to degrees, use the conversion .

In this case:

### Example Question #8 : Radians And Conversions

How many radians are in ?

Possible Answers:

Correct answer:

Explanation:

Since, we can solve by setting up a proportion:

Cross-multiply and solve.

### Example Question #9 : Radians And Conversions

How many degrees are in  radians?

Possible Answers:

Correct answer:

Explanation:

Since , we can solve by setting up a proportion:

Cross multiply and solve.

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