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  • Why is it important to learn the equation of a circle?
    Because it helps us describe, model, and solve real-life problems involving circular objects like wheels, fountains, or clocks.
  • What is the general form of the equation of a circle?
    x² + y² + Dx – Ey + F = 0
  • what is the equation of a circle in standard form?
    (x - h)² + (y - k)² = r²
  • How do we determine the center and radius of a circle if the equation is in general form?
    By completing the square to transform it into standard form.
  • What is the equation of a circle whose center is at the origin?
    x² + y² = r²
  • What happens to the equation if the circle is centered at the origin?
    The equation becomes x² + y² = r²
  • The equation of a circle is (x – 2)² + (y + 5)² = 25. What is the center?
    (2, -5)
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