### All High School Math Resources

## Example Questions

### 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 #53 : 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 #54 : 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.

### Example Question #21 : Understanding Radians And Conversions

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.

### Example Question #22 : Understanding Radians And Conversions

How many degrees are in radians?

**Possible Answers:**

**Correct answer:**

The conversion rate for degrees and radians is .

Set up a proportion to solve.

Cross multiply.

Notice that the cancels out.

### Example Question #31 : The Unit Circle And Radians

How many degrees are in radians?

**Possible Answers:**

**Correct answer:**

The ratio of degrees to radians is . Set up a proportion and solve.

Notice that the 's cancel out.

### Example Question #24 : Understanding Radians And Conversions

How many radians are in ?

**Possible Answers:**

**Correct answer:**

The relationship between degrees and radians is . We can set this up as a proportion to solve:

### Example Question #60 : Trigonometry

Convert to radians.

**Possible Answers:**

**Correct answer:**

Multiply the given degrees measurement by .

Simplify and you get .

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