circle (bcal)

• Conic section


  Intersection of a plane and a cone
• Conic sections


  • 4 different types depending on the angle of the slice
• Circle


  Consists of all points on a plane equidistant from a fixed point called the center
• Radius


  The constant distance from the center to any point on the circle
• Standard form of circle equation

  (x - h)^2 + (y - k)^2 = r^2
• Circle with center at (0, 0) and radius 5

  • x^2 + y^2 = 25
• Circle with center at (0, 3) and radius 6

  • x^2 + (y - 3)^2 = 36
• Circle with center at (2, -5) and radius 10


  • (x - 2)^2 + (y + 5)^2 = 100
• Circle with center at (1, 5) and radius √17


  • (x - 1)^2 + (y - 5)^2 = 17
• Circle with center at (0, 0) and radius 8

  • x^2 + y^2 = 64
• Circle with center at (0, 0) and radius √19

  • x^2 + y^2 = 19
• Circle with center at (0, 2) and radius 7

  • x^2 + (y - 2)^2 = 49
• Circle with center at (-7, 5) and radius 2√14


  • (x + 7)^2 + (y - 5)^2 = 56
• give the 4 different type of conic section

  circle, ellipse, parabola, and hyperbola