reduce the given general equation of a circle to standard form.

To reduce the general equation of a circle to its standard form, follow these steps. Let's start with the general form of the equation of a circle:

\[ Ax^2 + Ay^2 + Dx + Ey + F = 0 \]

Since \(A\) is typically set to 1 for a standard circle equation, we rewrite it as:

\[ x^2 + y^2 + Dx + Ey + F = 0 \]

Now, let's reduce this to the standard form \((x - h)^2 + (y - k)^2 = r

Learn how to reduce the general equation of a circle to its standard form with a step-by-step solution. This problem involves converting a circle equation from general form to standard form, covering key concepts in circle equations and standard form representation. Suitable for students in Grades 10-12.

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