Equation of a Circle Practice
Authored by Erin Mead
Mathematics
9th - 12th Grade
CCSS covered
Used 55+ times
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21 questions
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1.
MULTIPLE CHOICE QUESTION
15 mins • 1 pt
Which of the following is the equation of a circle with a center at (-1,3) and a radius of 4?
(x-1)2+(y+3)2=4
(x-1)2+(y+3)2=16
(x+1)2+(y-3)2=4
(x+1)2+(y-3)2=16
Tags
CCSS.HSG.GPE.A.1
2.
MULTIPLE CHOICE QUESTION
15 mins • 1 pt
If a point (1,2) lies on a circle whose equation is (x-2)2+(y+1)2=___, then the missing value is
4
8
10
12
Tags
CCSS.HSG.GPE.A.1
3.
MULTIPLE CHOICE QUESTION
15 mins • 1 pt
A flattened crop circle has a diameter of 300 feet. If this circle is represented graphically, with the center located at the coordinates (3,4), which equation represents the boundary of the crop circle?
x2+y2=90,000
(x-3)2+(y-4)2=22,500
(x+3)2+(y+4)2=22,500
(x-3)2+(y-4)2=90,000
Tags
CCSS.HSG.GPE.A.1
4.
MULTIPLE CHOICE QUESTION
15 mins • 1 pt
The equation x2+y2-2x+6y+3=0 is equivalent to
(x-1)2+(y+3)2=7
(x-1)2+(y+3)2=-3
(x+1)2+(y+3)2=7
(x+1)2+(y+3)2=10
Tags
CCSS.HSG.GPE.A.1
5.
MULTIPLE CHOICE QUESTION
15 mins • 1 pt
The center and radius, respectively, of the circle x2+y2+6x-2y-15=0 are:
(3,-1), 5
(-3,1),
(3,-1),
(-3,1), 5
Tags
CCSS.HSG.GPE.A.1
6.
MULTIPLE CHOICE QUESTION
15 mins • 1 pt
Which translation, when applied to the center of the circle x2+y2=4, creates the congruent circle x2+y2+8x-10y+37=0?
T4,5
T4,-5
T-4,-5
T-4,5
Tags
CCSS.HSG.CO.A.2
7.
MULTIPLE CHOICE QUESTION
15 mins • 1 pt
Which circle has a center at (-3,-6) and passes through the point (-4,8)?
(x-3)2+(y-6)2=197
(x+3)2+(y+6)2=197
(x-3)2+(y-6)2=32
(x+3)2+(y+6)2=32
Tags
CCSS.HSG.GPE.A.1
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