Standard Form of a Circle and Center
Authored by Anthony Clark
Mathematics
10th Grade
CCSS covered
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10 questions
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1.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Identify the center of the circle in general form.
A
B
C
D
Tags
CCSS.HSG.GPE.A.1
2.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Select the matching graph.
Tags
CCSS.HSG.GPE.A.1
3.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Write the standard equation of the circle with the given center and radius; center (0, 0) and radius of 3.
x2 + y2 = 4
x2 + y2 = 81
x2 + y2 = 9
x2 + y2 = 3
Tags
CCSS.HSG.GPE.A.1
4.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
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
Tags
CCSS.HSG.GPE.A.1
5.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Change the following equation to standard form
(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
6.
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, -7)
(-2, -3)
Tags
CCSS.HSG.GPE.A.1
7.
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
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