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홈 / 라이브러리 / Digital SAT Math: Algebra, Advanced Math & Geometry / AI 플래시카드

What is the standard equation of a circle in the xy-plane, and what do $(h, k)$ and $r$ represent?

덱 'Digital SAT Math: Algebra, Advanced Math & Geometry'의 플래시카드.

정답

$(x - h)^2 + (y - k)^2 = r^2$, where $(h, k)$ is the center of the circle and $r$ is the radius ($r > 0$).

해설

When given in general form $x^2 + y^2 + Dx + Ey + F = 0$, complete the square for both $x$ and $y$ terms to find the center and radius.

AI 생성 콘텐츠 · 감수: Ada