High School Math : The Unit Circle and Radians

Study concepts, example questions & explanations for High School Math

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Example Questions

Example Question #41 : 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 #42 : 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 #43 : 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 #44 : 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 #45 : 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 #51 : 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 :

Reduce:

Example Question #52 : 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 :

Reduce:

Example Question #53 : Trigonometry

How many degrees are in  radians?

Possible Answers:

Correct answer:

Explanation:

Remember,  radians, so  radians would correspond to .

Example Question #54 : Trigonometry

How many radians are in ?

Possible Answers:

Correct answer:

Explanation:

The ratio between radians and degrees is  radians. 

Since the question asks us about , the conversion tells us it will be  radians.

Example Question #55 : Trigonometry

How many degrees are in  radians?

Possible Answers:

Correct answer:

Explanation:

The ratio between radians and degrees is  radians.

That means we can set up a proportion:

Notice that the 's cancel out.

 

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