The standard form of a circle is written as:
Write the following equation of a circle in standard form:
If the x² and y² coefficients are the same, the equation represents a circle. If the x² and y² coefficients are different, we may have an ellipse.
Divide both sides of the equation by 3 to reduce the x² and y² coefficients to 1.
Move to the right side of the equation.
Complete the square for -2x.
Complete the square for .
The equation for the circle in standard form is:
The center of the circle is:
The radius of the circle is: