CIRCLES Topic 10.2.

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Presentation transcript:

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

Equation of a 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

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 :

Center: Use midpoint formula! 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)