
Equation of Circle Review
Authored by Anthony Clark
Mathematics
10th Grade
CCSS covered

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15 questions
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1.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
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
Tags
CCSS.HSG.GPE.A.1
2.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
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
Tags
CCSS.HSG.GPE.A.1
3.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Select the matching graph.
Tags
CCSS.HSG.GPE.A.1
4.
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
5.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Which of the following equations of circles in standard form with center at (-3, 4) and a radius of 5 units?
x2 - y2 = 25
x2 + y2 = 25
(x - 3)2 + (y + 4)2 = 25
(x + 3)2 + (y - 4)2 = 25
Tags
CCSS.HSG.GPE.A.1
6.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Select the equation of a circle that has a diameter of 12.
(x-6)2+(y+6)2=12
(x-12)2+(y-2)2=6
(x+1)2+(y-12)2=144
(x-4)2+(y-1)2=36
Tags
CCSS.HSG.GPE.A.1
7.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Which of the following equations of circles in standard form with center at (-5, -8) and a radius of 6 units?
(x - 5)2 - (y - 8)2 = 36
(x + 5)2 - (y + 8)2 = 36
(x + 5)2 - (y + 8)2 = 36
(x + 5)2 + (y + 8)2 = 36
Tags
CCSS.HSG.GPE.A.1
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