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Lesson 10-3: Circles
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Equation of a circle (x – h)2 + (y – k)2 = r2
Circle: the set of all points in a plane that are equidistant from a given point in the plane Center: the point that all points in a circle are equidistant from Equation of a circle (x – h)2 + (y – k)2 = r2 h = x value of center k = y value of center r = radius length .
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Graph (not in packet) Center (8, -3) r=6
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Identify the center and radius for each circle given
Identify the center and radius for each circle given. Then graph the circle. Center (7, -3) passes through the origin
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Center (-2, 8) and tangent to y=4
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(x-3)2 + y2 = 9
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Write the equation in standard form then graph.
x2 + y2 – 4x + 8y – 5 = 0
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Write the equation in standard form then graph.
x2 + y2 + 4x - 10y – 7 = 0
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Write the equation for the circle described.
Center (-1,-5) radius 2 units Endpoints of a diameter at (-4, 1) and (4, -5)
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A plan for a park puts the center of a circular pond of radius 0
A plan for a park puts the center of a circular pond of radius 0.6mi, 2.5mi east and 3.8mi south of the park headquarters. Use the headquarters as the origin and write an equation to represent the situation.
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