CIRCLES Topic 7.3
Definitions <ul><li>Circle:  The set of all points that are the same distance from the center </li></ul><ul><li>Radius:   ...
Equation of a Circle
Writing the Equation of a Circle <ul><li>Group x terms together, y-terms together, and move constants to the other side </...
Example: Write the equation and find the center and radius length of :   Group terms Complete the square
You try!!:  Write the equation and find the center and radius length of :
THINK ABOUT IT Find the center, the length of the radius, and write the equation of the circle if the endpoints of a diame...
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2006 7 3

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2006 7 3

  1. 1. CIRCLES Topic 7.3
  2. 2. Definitions <ul><li>Circle: The set of all points that are the same distance from the center </li></ul><ul><li>Radius: a segment whose endpoints are the center and a point on the circle </li></ul>
  3. 3. Equation of a Circle
  4. 4. Writing the Equation of a Circle <ul><li>Group x terms together, y-terms together, and move constants to the other side </li></ul><ul><li>Complete the square for the x-terms </li></ul><ul><ul><li>Remember that whatever you do to one side, you must also do to the other </li></ul></ul><ul><li>Complete the square for the y-terms </li></ul><ul><ul><li>Remember that whatever you do to one side, you must also do to the other </li></ul></ul>
  5. 5. Example: Write the equation and find the center and radius length of : Group terms Complete the square
  6. 6. You try!!: Write the equation and find the center and radius length of :
  7. 7. THINK ABOUT IT Find the center, the length of the radius, and write the equation of the circle if the endpoints of a diameter are (-8,2) and (2,0). Center : Use midpoint formula! Length : use distance formula with radius and an endpoint Equation : Put it all together
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