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CIRCLES

CIRCLES. Topic 7.3. Definitions. Circle: The set of all points that are the same distance from the center Radius: a segment whose endpoints are the center and a point on the circle. Equation of a Circle. Writing the Equation of a Circle.

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CIRCLES

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  1. CIRCLES Topic 7.3

  2. Definitions • Circle: The set of all points that are the same distance from the center • Radius:a segment whose endpoints are the center and a point on the circle

  3. Equation of a Circle

  4. Writing the Equation of a Circle • Group x terms together, y-terms together, and move constants to the other side • Complete the square for the x-terms • Remember that whatever you do to one side, you must also do to the other • Complete the square for the y-terms • Remember that whatever you do to one side, you must also do to the other

  5. Example: Write the equation and find the center and radius length of : Group terms Complete the square

  6. You try!!: Write the equation and find the center and radius length of :

  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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