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In a circle with radius $r$, what is the equation in standard form with center $(h, k)$?

Study flashcard from the deck Digital SAT: Comprehensive Practice (Math & Reading-Writing).

Answer

$(x - h)^2 + (y - k)^2 = r^2$.

Explanation

If an expanded equation $x^2 + y^2 + Dx + Ey + F = 0$ is given, complete the square on $x$ and $y$ terms to find the center $(h, k)$ and radius $r$.

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