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 #431 : Trigonometry

Convert  into degrees.

Possible Answers:

Correct answer:

Explanation:

Recall that there are 360 degrees in a circle which is equivalent to  radians. In order to convert between radians and degrees use the relationship that, .

Therefore, in order to convert from radians to degrees you need to multiply by . So in this particular case, 

 

.

Example Question #32 : Radians

Convert  into degrees.

Possible Answers:

Correct answer:

Explanation:

Recall that there are 360 degrees in a circle which is equivalent to  radians. In order to convert between radians and degrees use the relationship that, .

Therefore, in order to convert from radians to degrees you need to multiply by . So in this particular case, 

.

Example Question #51 : Unit Circle And Radians

Convert  into degrees.

Possible Answers:

Correct answer:

Explanation:

Recall that there are 360 degrees in a circle which is equivalent to  radians. In order to convert between radians and degrees use the relationship that, .

Therefore, in order to convert from radians to degrees you need to multiply by .  So in this particular case, 

.

Example Question #52 : Unit Circle And Radians

Convert  into degrees.

Possible Answers:

Correct answer:

Explanation:

Recall that there are 360 degrees in a circle which is equivalent to  radians. In order to convert between radians and degrees use the relationship that, .

Therefore, in order to convert from radians to degrees you need to multiply by . So in this particular case, 

.

Example Question #41 : Radians

Convert  into radians

Possible Answers:

Correct answer:

Explanation:

Step 1: Recall the formula to change a degree measure into radians:

The formula is: .

Step 2: Plug in the angle:



Step 3: Simplify:

We will use the  and try to reduce the  as much as possible. 

After Dividing by 3:



After dividing by 5:




 is  in radians.

Example Question #53 : Unit Circle And Radians

Convert  in degrees.

Possible Answers:

Correct answer:

Explanation:

Step 1: To convert radians back to degrees, multiply that radian measure by 

Step 2: Multiply:



Step 3: Reduce.. The  will cancel...



Step 4: Divide  by ..



 is equivalent to 

Example Question #601 : New Sat

Round your answer to the nearest thousandth.

Convert  to radians:

Possible Answers:

Correct answer:

Explanation:

We know that:

 Radians

since the giving angle was in degrees then we multiply

Example Question #55 : Unit Circle And Radians

Simplify your answer.

Convert  to radians:

Possible Answers:

Correct answer:

Explanation:

We know that:

 Radians

since the giving angle was in degrees then we multiply

 

Example Question #53 : Unit Circle And Radians

Simplify your answer.

Convert  to degree:

Possible Answers:

Correct answer:

Explanation:

We know that:

 Radians

since the giving angle was in radians then we multiply

 

Example Question #602 : New Sat

Round your answer to the nearest thousandth.

Convert 3 radians to degrees:

Possible Answers:

Correct answer:

Explanation:

We know that:

 Radians

since the giving angle was in radians then we multiply

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