Equations of Circles Using Completing the Square
Authored by Anthony Clark
Mathematics
9th Grade
CCSS covered
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13 questions
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1.
MULTIPLE CHOICE QUESTION
1 min • 2 pts
Using the general form of a circle given, determine the center and radius of that circle. Round to the nearest tenth if necessary.
Center: (-10,-4)
Radius: 8
Center: (-4,-10)
Radius: 64
Center: (10,4)
Radius: 8
Center: (4,10)
Radius: 64
Tags
CCSS.HSG.GPE.A.1
2.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Find the equation of the circle from the graph below
Tags
CCSS.HSG.GPE.A.1
3.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Determine the equation of the circle in standard form: x2 + y2 + 6x - 12y + 20 = 0
(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
Tags
CCSS.HSG.GPE.A.1
4.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Determine the equation of the circle in standard form:
x² + y² + 4x + 6y - 36 = 0
(x+2)2 + (y+3)2 = 49
(x+2)2 + (y+3)2 = 13
(x-2)2 + (y-3)2 = 49
(x-2)2 + (y-3)2 = 13
Tags
CCSS.HSG.GPE.A.1
5.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Determine the center and radius:
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
Tags
CCSS.HSG.GPE.A.1
6.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Change the following equation to standard form
x2+y2-4x+12y-8=0
(x+2)2+(y-6)2=48
(x-2)2+(y+6)2=48
(x-6)2+(y-2)2=48
(x+2)2+(y-6)2=48
Tags
CCSS.HSG.GPE.A.1
7.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
What is the center for the circle with this equation x²+y²+4x+6y-36=0?
(-2,5)
(2,7)
(-2,-3)
Tags
CCSS.HSG.GPE.A.1
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