# Trigonometry : Radians and Conversions

## Example Questions

### Example Question #1 : Radians

Change  angle to degrees.

Explanation:

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

Therefore, to solve:

### Example Question #1 : Radians

Explanation:

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

Now we can write:

### Example Question #561 : New Sat

Explanation:

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

Now we can write:

### Example Question #1 : Radians And Conversions

Give in degrees:

Explanation:

First we can find in radians:

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

### Example Question #1 : Circles

Give in degrees:

Explanation:

First we can find in radians:

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

### Example Question #1 : Radians

Explanation:

First we need to convert to radians by multiplying by :

Now we can solve the following equation for :

### Example Question #1 : Circles

Give in degrees:

Explanation:

First we can find in radians:

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

### Example Question #1 : Radians

Convert the angle  into degrees.

Explanation:

To convert radians to degrees, use the conversion .

In this case:

### Example Question #1 : Radians And Conversions

How many radians are in ?

Explanation:

Since, we can solve by setting up a proportion:

Cross-multiply and solve.

### Example Question #1 : Radians And Conversions

How many degrees are in  radians?