CIRCLES

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## CIRCLES

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**CIRCLES**Topic 10.2**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**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**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 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**THINK ABOUT IT**• Write the equation of a circle whose center is (2, -1) and tangent to x = 6**THINK ABOUT IT**• Write the equation of a circle who passes through (-2, 3) and is centered at (2, -1)