ircles The equation of a circle can be changed from general form to standard form by doing which of the follo A. solving for \( y \) B. completing the squares C. squaring both sides D. solving for \( x \)
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To change the equation of a circle from general form to standard form, the most effective method is completing the squares. This technique allows you to reorganize the equation into a form that clearly shows the circle's center and radius, making it much easier to graph and understand. When you complete the square for both the \(x\) and \(y\) terms, you ultimately derive the familiar format \((x-h)^2 + (y-k)^2 = r^2\), where \((h, k)\) is the center and \(r\) is the radius. This makes identifying key properties of the circle a breeze!