# High School Math : Finding the Center and Radius

## Example Questions

### Example Question #31 : Functions And Graphs

Find the center and radius of the circle defined by the equation:       Explanation:

The equation of a circle is: where is the radius and is the center.

In this problem, the equation is already in the format required to determine center and radius. To find the -coordinate of the center, we must find the value of that makes equal to 0, which is 3. We do the same to find the y-coordinate of the center and find that . To find the radius we take the square root of the constant on the right side of the equation which is 6.

### Example Question #1 : Finding The Center And Radius

Find the center and radius of the circle defined by the equation:       The equation of a circle is: where is the radius and is the center.
In this problem, the equation is already in the format required to determine center and radius. To find the -coordinate of the center, we must find the value of that makes equal to , which is . We do the same to find the y-coordinate of the center and find that . To find the radius we take the square root of the constant on the right side of the equation which is 10. 