High School Geometry Radians Can You Help?

[sageheart4]

Hi, Can you please explain what a radian is in simple terms ?
Also can you please explain how to find the radian of problems with missing angles in problems where a known radian is given?
Please give step by step instructions.

I need this asap for homework problems due tomorrow.

Thank you!

 

[ksdhart]

A radian is simply a way of measuring an angle. It's an alternate to the degree. A circle is 360 degrees, so therefore one degree represents 1/360 of a circle. Similarly, we've defined that 2pi radians make up a circle, so one radian is equal to 1/(2pi) of a circle. And as far as solving problems involving radians goes, because radians and degrees are simply two alternate ways of expressing an angle measurement, you can solve any problem involving radians in exactly the same way you'd solve that problem if the angles were degrees.

Other than what I wrote above I don't know that can be of too much help. You asked for help on "problems with missing angles in problems where a known radian is given?" but I don't really understand what you mean by that. If you could please post a specific example of a problem you need help understanding, I or another user might be of more assistance.

 

[Explorer]

You asked for help on "problems with missing angles in problems where a known radian is given?" but I don't really understand what you mean by that. If you could please post a specific example of a problem you need help understanding, I or another user might be of more assistance.

He probably meant to say that the angle in radians is given, and he needs to find the angle in degrees.
In that case you just need to divide the angle in radians by pi, and multiple the result by 180deg:

(angle in rad/PI) X 180deg