### All High School Math Resources

## Example Questions

### Example Question #1 : Understanding Radians And Conversions

What is the value of the angle radians when converted to degrees?

**Possible Answers:**

**Correct answer:**

The answer can be found using the conversion of 1 radian equals degrees. Multiplying by this conversion factor gives 270 degrees.

### Example Question #2 : Understanding Radians And Conversions

A point has Cartesian coordinates . Rewrite this as an ordered pair in the polar coordinate plane, rounding the coordinates to the nearest hundredth.

**Possible Answers:**

**Correct answer:**

Set . Calculate the polar coordinates as follows:

### Example Question #3 : Understanding Radians And Conversions

How many degrees are in radians?

**Possible Answers:**

**Correct answer:**

Cross multiply:

Notice that the 's cancel out:

### Example Question #4 : Understanding Radians And Conversions

How many radians are in ?

**Possible Answers:**

**Correct answer:**

The relationship between degrees and radians is radians. Therefore, would be radians.

### Example Question #5 : Understanding Radians And Conversions

Express in radians:

**Possible Answers:**

**Correct answer:**

Since , we can convert as follows:

### Example Question #6 : Understanding Radians And Conversions

How many radians are in ?

**Possible Answers:**

**Correct answer:**

Since there are radians for every , we can set up a proportion to solve.

Cross multiply.

Divide both sides by .

### Example Question #7 : Understanding Radians And Conversions

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 #8 : Understanding Radians And Conversions

How many degrees are in radians?

**Possible Answers:**

**Correct answer:**

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

Cross multiply:

Divide both sides by :

### Example Question #9 : Understanding Radians And Conversions

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 #10 : Understanding Radians And Conversions

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:

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