G.6.5.3 Back and Forth

Here is the equation of a circle: (x - 2)² + (y + 7)² = 10² a. What are the center and radius of the circle? b. Apply the distributive property to the squared binomials and rearrange the equation so that one side is 0. This is the form in which many circle equations are written.

This equation looks different, but also represents a circle: x²+ 6x + 9 + y² - 10y + 25 = 64 a. How can you rewrite this equation to find the center and radius of the circle? b. What are the center and radius of the circle?