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GEO: 11-7 QC (equation of a circle)
Contributed by: Maynard
(Original author: Crouch)
2
-2
4
-4
6
-6
2
-2
4
-4
6
-6
8
-8
10
-10
Center
(
Radius:
,
)
1.  What is the center     and radius for the      circle below?  
2
-2
4
-4
6
-6
2
-2
4
-4
6
-6
8
-8
10
-10
Center
(
Radius:
0

x2 + y2 = 3

,
0
3
)
2.  What is the equation
      for the circle below?  

x2 + y2 = 9

2
-2
4
-4
6
-6
2
-2
4
-4
6
-6
8
-8
10
-10
Center
(
Radius:
3.  What is the center and radius for the equation 
     graphed here?
,
)
2
-2
4
-4
6
-6
2
-2
4
-4
6
-6
8
-8
10
-10
4.  What is the equation      for the circle ?  

(x-5)2 + (y-4)2 = 9

(x+5)2 + (y+4)2 = 9

2
-2
4
-4
6
-6
2
-2
4
-4
6
-6
8
-8
10
-10
Center
(
Radius:
5.  What is the center and the radius for the
     circle graphed here?
,
)
2
-2
4
-4
6
-6
2
-2
4
-4
6
-6
8
-8
10
-10
6.  Fill in the boxes below with the correct numbers      to show the equation of the circle     graphed here. Be sure to include      a + or - sign with your number.       Do not include any spaces.
(x         )2 + (y         )2 =
2
-2
4
-4
6
-6
2
-2
4
-4
6
-6
8
-8
10
-10
7. Fill in the boxes below    with the correct numbers     & signs (+ or -) to show    the equation of the circle    graphed here. Do not     include any spaces.
(x         )2 + (y         )2 =
2
-2
4
-4
6
-6
2
-2
4
-4
6
-6
8
-8
10
-10
8. Fill in the boxes below    with the correct numbers     & signs (+ or -) to show    the equation of the circle    graphed here. Do not    include any spaces.
(x         )2 + (y         )2 =
2
-2
4
-4
6
-6
2
-2
4
-4
6
-6
8
-8
10
-10
9. Fill in the boxes below    with the correct numbers     & signs (+ or -) to show    the equation of the circle    graphed here. Do not     include any spaces.
(x         )2 + (y         )2 =
10.  Given the center of a circle is (4, 3) and the 
       point (-2, 9) is on the circle, what is the
       equation of the circle?
(x + 4)2 + (y + 3)2 = 72
(x - 4)2 + (y - 3)2 = 72
(x + 4)2 + (y - 3)2 = 72
(x + 4)2 + (y - 3)2 = √72
11.  Given the center of a circle is (-5, 2) and the        a radius of 5, what is the equation of the circle?
(x + 5)2 + (y - 2)2 = 5
(x + 5)2 + (y + 2)2 = 25
(x + 5)2 + (y - 2)2 = 25

(x + 5)2 + (y + 2)2 = 5
12.  Given the center of a circle is (-6, -2) and the        a radius of 4, what is the equation of the circle?
(x + 6)2 + (y + 2)2 = 16
(x + 6)2 + (y + 2)2 = 4

(x - 6)2 + (y - 2)2 = 16
Students who took this test also took :
GEO: 6-3 QC (conditions for parallelograms)
GEO: 11-3 QC (sector area & arc length)
GEO Alg #2 Multiplying Polynomials
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