# Precalculus : Convert Between Degrees and Radians

## Example Questions

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

Explanation:

In order to solve this problem, we must know that

with this formula, we can find our answer:

### Example Question #2 : Convert Between Degrees And Radians

Explanation:

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

using this formula, we can find our answer:

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

Convert   to degrees.

Explanation:

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

using this formula, we can find our answer:

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

Explanation:

To solve this problem, we need to know that

we can arrive to our answer by using this formula:

### Example Question #2 : Convert Between Degrees And Radians

Convert  to degrees.

Explanation:

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

Explanation:

The value of  radians equal 180 degrees.  Substitute and solve.

### Example Question #3 : Convert Between Degrees And Radians

Explanation:

To convert from degrees into radians,

multiply the angle in degrees by

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

Convert the following to degrees:

Explanation:

To convert, multiply by the conversion factor .

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

Explanation:

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

Therefore:

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

Explanation:

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

In this case:

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