# High School Math : The Unit Circle and Radians

## Example Questions

### Example Question #41 : Trigonometry

How many degrees are in  radians?

Explanation:

The conversion for radians is , so we can make a ratio:

Cross multiply:

Notice that the 's cancel out:

### Example Question #42 : Trigonometry

How many degrees are in  radians?

Explanation:

The conversion for radians is , so we can make a ratio:

Cross multiply:

Notice that the 's cancel out:

### Example Question #43 : Trigonometry

How many radians are in ?

Explanation:

The conversion for radians is , so we can make a ratio:

Cross multiply:

Isolate :

### Example Question #44 : Trigonometry

How many radians are in ?

Explanation:

The conversion for radians is , so we can make a ratio:

Cross multiply:

Isolate :

### Example Question #45 : Trigonometry

How many radians are in ?

Explanation:

The conversion for radians is , so we can make a ratio:

Cross multiply:

Isolate :

### Example Question #51 : Trigonometry

How many radians are in ?

Explanation:

The conversion for radians is , so we can make a ratio:

Cross multiply:

Isolate :

Reduce:

### Example Question #52 : Trigonometry

How many radians are in ?

Explanation:

The conversion for radians is , so we can make a ratio:

Cross multiply:

Isolate :

Reduce:

### Example Question #53 : Trigonometry

How many degrees are in  radians?

Explanation:

### Example Question #54 : Trigonometry

How many radians are in ?

Explanation:

### Example Question #55 : Trigonometry

How many degrees are in  radians?