Equations of Circles

Assessment
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TRENT POPE
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Mathematics
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9th - 10th Grade
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91 plays
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Medium
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10 questions
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1.
Multiple Choice
A circle has the equation x2 + y2 - 12x + 8y + 3 = 0. Write the equation in standard form.
(x - 6)2 + (y + 4)2 = 49
(x + 4)2 + (y - 6)2 = 49
(x - 6)2 + (y + 4)2 = 55
x2 + y2 = 55
2.
Multiple Choice
The equation of a circle is x2 + y2 + 6x - 12y + 20 = 0. Write the equation in standard form.
(x - 3)2 + (y + 6)2 = 25
(x + 3)2 + (y - 6)2 = 25
(x - 3)2 + (y + 6)2 = 45
(x + 3)2 + (y - 6)2 = 5
3.
Multiple Choice
A circle has the equation x2 + y2 + 10x - 4y + 20 = 0. Write it in standard form.
(x - 5)2 + (y + 2)2 = 9
(x + 5)2 + (y - 2)2 = 3
(x + 5)2 + (y - 2)2 = 9
(x - 5)2 + (y + 2)2 = 3
4.
Multiple Choice
Find the center and radius of the circle: x2 + y2 + 14x - 2y = -1.
center = (-7, 2) radius = 3
center = (-7, 1) radius = 7
center = (-4, 1) radius = 7
center = (-4, 2) radius = 3
5.
Multiple Choice
x2 + y2 - 10x + 8y -8 = 0
C = (5,-4) r = 7
C = (-5,4) r = 7
C = (-4,5) r = 49
C = (5,-4) r = 49
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