High School Math : Understanding Radians and Conversions

Study concepts, example questions & explanations for High School Math

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Example Questions

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Example Question #34 : Trigonometry

What is the value of the angle  radians when converted to degrees?

Possible Answers:

Correct answer:

Explanation:

The answer can be found using the conversion of 1 radian equals  degrees.  Multiplying  by this conversion factor gives 270 degrees.

Example Question #35 : Trigonometry

A point has Cartesian coordinates . Rewrite this as an ordered pair in the polar coordinate plane, rounding the coordinates to the nearest hundredth.

Possible Answers:

Correct answer:

Explanation:

Set . Calculate the polar coordinates  as follows:

Example Question #36 : Trigonometry

How many degrees are in  radians?

Possible Answers:

Correct answer:

Explanation:

Cross multiply:

Notice that the 's cancel out:

Example Question #1771 : High School Math

How many radians are in ?

Possible Answers:

Correct answer:

Explanation:

The relationship between degrees and radians is  radians. Therefore,  would be  radians.

Example Question #1772 : High School Math

Express in radians: 

Possible Answers:

Correct answer:

Explanation:

Since , we can convert as follows:

Example Question #1 : Understanding Radians And Conversions

How many radians are in ?

Possible Answers:

Correct answer:

Explanation:

Since there are  radians for every , we can set up a proportion to solve.

Cross multiply.

Divide both sides by .

Example Question #42 : Trigonometry

How many radians are in ?

Possible Answers:

Correct answer:

Explanation:

The conversion for radians is , so we can make a ratio:

Cross multiply:

Isolate :

Example Question #43 : Trigonometry

How many degrees are in  radians?

Possible Answers:

Correct answer:

Explanation:

The conversion for radians is , so we can make a ratio:

Cross multiply:

Divide both sides by :

Example Question #44 : Trigonometry

How many degrees are in  radians?

Possible Answers:

Correct answer:

Explanation:

The conversion for radians is , so we can make a ratio:

Cross multiply:

Notice that the 's cancel out:

 

Example Question #45 : Trigonometry

How many degrees are in  radians?

Possible Answers:

Correct answer:

Explanation:

The conversion for radians is , so we can make a ratio:

Cross multiply:

Notice that the 's cancel out:

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