Circle Equations Quiz

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Questions and Answers

Which of the following is the equation for a circle?

  • ax² + bx + c = 0
  • x² + y² = r² (correct)
  • y = mx + b
  • y = mx

What does the equation x² + y² = r² represent?

  • A circle (correct)
  • A parabola
  • A line
  • An ellipse

Which of the following equations represents a circle with center at (3, -2) and radius 5?

  • (x + 3)² + (y - 2)² = 5²
  • (x - 3)² + (y + 2)² = 25
  • (x + 3)² + (y - 2)² = 25
  • (x - 3)² + (y + 2)² = 5² (correct)

다음 중 원의 방정식으로 올바른 것은 무엇입니까?

<p>x² + y² = r² (C)</p> Signup and view all the answers

원의 방정식은 무엇을 나타냅니까?

<p>원 (D)</p> Signup and view all the answers

원의 방정식에서 r은 무엇을 의미합니까?

<p>반지름 (D)</p> Signup and view all the answers

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Study Notes

Circle Equation

  • The equation for a circle is x² + y² = r².
  • This equation represents a circle centered at the origin (0, 0) with radius r.

Circle with Center (a, b) and Radius r

  • The equation (x - a)² + (y - b)² = r² represents a circle with center at (a, b) and radius r.
  • For a circle with center at (3, -2) and radius 5, the equation is (x - 3)² + (y + 2)² = 5².

Variable 'r' in Circle Equation

  • In the circle equation, r represents the radius of the circle.

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