
General and Standard Equation of a Circle
Authored by Anthony Clark
Mathematics
10th Grade
CCSS covered

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20 questions
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1.
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
2.
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
3.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
What is the equation of the circle with the given information?
A
B
C
D
Tags
CCSS.HSG.GPE.A.1
4.
OPEN ENDED QUESTION
1 min • 1 pt
Part One. Determine the equation of the circle described in each item. Express equations in both the standard form and general form.
Evaluate responses using AI:
OFF
Tags
CCSS.HSG.GPE.A.1
5.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
What is the equation for this circle?
(x+1)+(y+1)=9
x²+y²=9
x+y=9
Tags
CCSS.HSG.GPE.A.1
6.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Tags
CCSS.HSG.GPE.A.1
7.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Convert the equation of the circle from standard to general.
A
B
C
D
Tags
CCSS.HSG.GPE.A.1
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