
Deriving the 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 + 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
2.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Write the Equation to the circle with center of (2,5) and radius 6.
(x-2)2 + (y-5)2= 6
(x-2)2 + (y-5)2= 36
(x+2)2 + (y-5)2= 6
(x+2)2 + (y+5)2 = 36
Tags
CCSS.HSG.GPE.A.1
3.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
The radius of a circle has length 6. The center is at (-5, 2). Give the equation of the circle.
(x - 2)2 + (y + 5)2 = 36
(x - 5)2 + (y + 2)2 = 6
(x + 5)2 + (y - 2)2 = 36
(x + 2)2 + (y - 5)2 = 6
Tags
CCSS.HSG.GPE.A.1
4.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Which is the equation of this circle?
None of these
Tags
CCSS.HSG.GPE.A.1
5.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
The equation of a circle is derived from
gradient-intercept forumla
point-slop form
distance formula
quadratic equation
Tags
CCSS.HSG.GPE.A.1
6.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Use the information provided to write the standard form equation of the circle.
A
B
C
D
Tags
CCSS.HSG.GPE.A.1
7.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
center: (-7,2)
radius = 3
center: (-4,1)
radius = 5
center: (-7,1)
radius = 7
center: (7,-1)
radius = 7
Tags
CCSS.HSG.GPE.A.1
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