All High School Math Resources
Example Questions
Example Question #41 : Trigonometry
How many degrees are in radians?
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?
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 ?
The conversion for radians is , so we can make a ratio:
Cross multiply:
Isolate :
Example Question #44 : Trigonometry
How many radians are in ?
The conversion for radians is , so we can make a ratio:
Cross multiply:
Isolate :
Example Question #45 : Trigonometry
How many radians are in ?
The conversion for radians is , so we can make a ratio:
Cross multiply:
Isolate :
Example Question #21 : The Unit Circle And Radians
How many radians are in ?
The conversion for radians is , so we can make a ratio:
Cross multiply:
Isolate :
Reduce:
Example Question #22 : The Unit Circle And Radians
How many radians are in ?
The conversion for radians is , so we can make a ratio:
Cross multiply:
Isolate :
Reduce:
Example Question #21 : The Unit Circle And Radians
How many degrees are in radians?
Remember, radians, so radians would correspond to .
Example Question #24 : The Unit Circle And Radians
How many radians are in ?
The ratio between radians and degrees is radians.
Since the question asks us about , the conversion tells us it will be radians.
Example Question #25 : The Unit Circle And Radians
How many degrees are in radians?
The ratio between radians and degrees is radians.
That means we can set up a proportion:
Notice that the 's cancel out.