Precalculus : Convert Between Degrees and Radians

Study concepts, example questions & explanations for Precalculus

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Example Questions

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Example Question #1 : Angle Measures In Degrees And Radians

Convert  to radians.

Possible Answers:

Correct answer:

Explanation:

In order to solve this problem, we must know that

 

with this formula, we can find our answer:

Example Question #85 : Trigonometric Functions

Convert  to radians.

Possible Answers:

Correct answer:

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.

Possible Answers:

Correct answer:

Explanation:

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

using this formula, we can find our answer:

Example Question #3 : Angle Measures In Degrees And Radians

Convert  to radians.

Possible Answers:

Correct answer:

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.

Possible Answers:

Correct answer:

Explanation:

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

we can arrive to our answer by using this formula:

Example Question #5 : Angle Measures In Degrees And Radians

Convert  radians to degrees.

Possible Answers:

Correct answer:

Explanation:

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

 

Example Question #3 : Convert Between Degrees And Radians

Find  expressed as radians.

Possible Answers:

Correct answer:

Explanation:

To convert from degrees into radians,

multiply the angle in degrees by 

Example Question #7 : Angle Measures In Degrees And Radians

Convert the following to degrees:

Possible Answers:

Correct answer:

Explanation:

To convert, multiply by the conversion factor .

Example Question #8 : Angle Measures In Degrees And Radians

Convert  degrees into radians.

Possible Answers:

Correct answer:

Explanation:

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

Therefore:

Example Question #9 : Angle Measures In Degrees And Radians

Please convert the following from degrees to radians: 

 

Possible Answers:

Correct answer:

Explanation:

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

 

In this case:

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