More information about circles

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:

More information about circles

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