Circles : 3

• Circle


  A closed curve where all points are equidistant from a fixed point called the center
• Sketching the graph of a circle

  1. Identify the center

  2. Determine the radius

  3. Plot the points on the graph
• Equation of a circle

  x^2 + y^2 = r^2, where (h,k) is the center and r is the radius
• Slope of a line

  • Calculated as (y2 - y1) / (x2 - x1)
• Finding the standard equation of a circle

  1. Find the midpoint of the diameter

  2. Use the distance formula to find the radius

  3. Substitute into the standard form equation
• The center of the circle is the midpoint of the diameter
• The radius of the circle is half the length of the diameter
• Possible coordinates of an epicenter


  • (3.31, 1)
  • (-3.31, 1)
  • (5.20, 1)
  • (-5.20, 1)
• Circle


  A closed curve where all points are equidistant from a fixed point called the center
• Sketching the graph of a circle

  1. Identify the center

  2. Determine the radius

  3. Plot the points on the graph
• Equation of a circle

  x^2 + y^2 = r^2, where (h,k) is the center and r is the radius
• Slope of a line

  • Calculated as (y2 - y1) / (x2 - x1)
• Finding the standard equation of a circle

  1. Find the midpoint of the diameter

  2. Use the distance formula to find the radius

  3. Substitute into the standard form equation
• The center of the circle is the midpoint of the diameter
• The radius of the circle is half the length of the diameter
• Possible coordinates of an epicenter


  • (3.31, 1)
  • (-3.31, 1)
  • (5.20, 1)
  • (-5.20, 1)