Standard Form to Center Radius Form

Flashcards for converting standard form to center-radius form

Center-Radius Form

A method to rewrite the equation of a circle to easily identify its center and radius.

Step 1

Move constant terms to the right side and variables to the left.

Step 2

Group x-terms and y-terms together, leaving space to complete the square.

Step 3

Complete the square for both x and y terms, adding the same values to both sides of the equation.

Step 4

Rewrite the equation in factored form to obtain the center-radius form.

Example Result

In the equation (x-2)² + (y + 1)² = 9, the center is (2, -1) and the radius is 3.