### All Precalculus Resources

## Example Questions

### Example Question #4 : Convert Between Degrees And Radians

Convert to radians.

**Possible Answers:**

**Correct answer:**

To solve this problem, we need to know that

we can arrive to our answer by using this formula:

### Example Question #5 : Convert Between Degrees And Radians

Convert to degrees.

**Possible Answers:**

**Correct answer:**

In order to solve this problem, we need to know that

we can arrive to our answer by using this formula:

### Example Question #6 : Convert Between Degrees And Radians

Find expressed as radians.

**Possible Answers:**

**Correct answer:**

To convert from degrees into radians,

multiply the angle in degrees by

### Example Question #7 : Convert Between Degrees And Radians

Convert the following to degrees:

**Possible Answers:**

**Correct answer:**

To convert, multiply by the conversion factor .

### Example Question #8 : Convert Between Degrees And Radians

Convert degrees into radians.

**Possible Answers:**

**Correct answer:**

To convert between degrees and radians, you must use the following conversion factor 180 degrees = pi radians.

Therefore:

### Example Question #1 : Convert Between Degrees And Radians

Please convert the following from degrees to radians:

**Possible Answers:**

**Correct answer:**

To convert from degrees to radians, multiply the input by:

In this case:

### Example Question #10 : Convert Between Degrees And Radians

Please convert the following angle to degrees:

**Possible Answers:**

**Correct answer:**

To convert from radians to degrees, multiply the input by .

In this case:

### Example Question #11 : Angle Measures In Degrees And Radians

Convert radians to degrees. Round to the nearest integer.

**Possible Answers:**

**Correct answer:**

In order to convert from radians to degrees, we will need to know how many degrees are in a radian.

Substitute 180 as a replacement for .

The correct answer is .

### Example Question #12 : Angle Measures In Degrees And Radians

Convert to radians.

**Possible Answers:**

**Correct answer:**

To convert degrees to radians we must recall the conversion factor. Remember that .

Therefore, we can create the following fraction and solve for the missing variable.

### Example Question #13 : Angle Measures In Degrees And Radians

Megan, a civil engineer, measures the angle made by the angle of a road. She finds the angle to be . What is the angle in radians?

**Possible Answers:**

**Correct answer:**

Megan, a civil engineer, measures the angle made by the angle of a road. She finds the angle to be . What is the angle in radians?

To convert from degrees to radians, use the following formula:

Where and stand for degrees and radians, respectively.

So we get

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