New SAT Writing and Language : New SAT

Study concepts, example questions & explanations for New SAT Writing and Language

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Example Questions

Example Question #16 : Circles

Convert the following expression to radians:

 

Possible Answers:

Correct answer:

Explanation:

First we need to simplify the expression:

 

 

In order to change degrees to radians, we need to multiply by :

 

Example Question #11 : Radians

Change   to radians.

 

Possible Answers:

Correct answer:

Explanation:

In order to change degrees to radians we need to multiply degrees by :

 

Example Question #12 : Radians

Convert one radian to degrees.

Possible Answers:

Correct answer:

Explanation:

In order to change radians to degrees we need to multiply radians by :

 

Example Question #31 : Unit Circle And Radians

Convert one degree to radians.

Possible Answers:

Correct answer:

Explanation:

In order to change degrees to radians we need to multiply the degrees by :

 

Example Question #34 : Unit Circle And Radians

Simplify and give the followoing expression in degrees:

 

Possible Answers:

Correct answer:

Explanation:

First we need to simplify the expression:

 

Then multiply  by :

 

Example Question #21 : Circles

Simplify and give the followoing expression in degrees:

 

Possible Answers:

Correct answer:

Explanation:

First we need to simplify the expression:

 

Then multiply by :

 

Example Question #32 : Unit Circle And Radians

Convert  radians to degrees.

Possible Answers:

Correct answer:

Explanation:

Use the conversion .

Since we are converting radians to degrees, multiply by 180 degrees and divide by  radians.

Example Question #22 : Circles

How many degrees is 3 radians?

Possible Answers:

None of these other answers.

Correct answer:

Explanation:

When going from radians to degrees one multiplies by the conversion factor 

.

The radians cancel and the answer is left in degrees.

Example Question #23 : Circles

Convert to radians:

Possible Answers:

Correct answer:

Explanation:

To convert to radians, set up the ratio :

Example Question #24 : Circles

Convert to degrees:

Possible Answers:

Correct answer:

Explanation:

To convert, divide by and multiply by :

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