### All High School Math Resources

## Example Questions

### Example Question #41 : Trigonometry

How many degrees are in radians?

**Possible Answers:**

**Correct answer:**

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?

**Possible Answers:**

**Correct answer:**

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 ?

**Possible Answers:**

**Correct answer:**

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

Cross multiply:

Isolate :

### Example Question #44 : Trigonometry

How many radians are in ?

**Possible Answers:**

**Correct answer:**

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

Cross multiply:

Isolate :

### Example Question #45 : Trigonometry

How many radians are in ?

**Possible Answers:**

**Correct answer:**

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

Cross multiply:

Isolate :

### Example Question #51 : Trigonometry

How many radians are in ?

**Possible Answers:**

**Correct answer:**

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

Cross multiply:

Isolate :

Reduce:

### Example Question #52 : Trigonometry

How many radians are in ?

**Possible Answers:**

**Correct answer:**

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?

**Possible Answers:**

**Correct answer:**

Remember, radians, so radians would correspond to .

### Example Question #54 : Trigonometry

How many radians are in ?

**Possible Answers:**

**Correct answer:**

The ratio between radians and degrees is radians.

Since the question asks us about , the conversion tells us it will be radians.

### Example Question #55 : Trigonometry

How many degrees are in radians?

**Possible Answers:**

**Correct answer:**

The ratio between radians and degrees is radians.

That means we can set up a proportion:

Notice that the 's cancel out.