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Equation of a Circle
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What is the equation of the circle graphed below?
 
(x + 2)<sup>2</sup> + (y - 1)<sup>2</sup> = 25
 
(x + 2)<sup>2</sup> + (y - 1)<sup>2</sup> = 5
 
(x - 2)<sup>2</sup> + (y + 1)<sup>2</sup> = 25
 
(x - 2)<sup>2</sup> + (y + 1)<sup>2</sup> = 5
What is the equation of the circle graphed below?
 
(x - 1)<sup>2</sup> + (y + 4)<sup>2</sup> = 9
 
(x + 1)<sup>2</sup> + (y + 4)<sup>2</sup> = 3
 
(x - 1)<sup>2</sup> + (y + 4)<sup>2</sup> = 3
 
(x - 1)<sup>2</sup> + (y - 4)<sup>2</sup> = 9
What is the equation of the circle graphed below?
 
(x - 2)<sup>2</sup> + (y + 1)<sup>2</sup> = 16
 
(x + 2)<sup>2</sup> + (y - 1)<sup>2</sup> = 16
 
(x - 2)<sup>2</sup> + (y + 1)<sup>2</sup> = 8
 
(x - 2)<sup>2</sup> + (y + 1)<sup>2</sup> = 4
What is the equation of the circle graphed below?
 
(x - 1)<sup>2</sup> + (y + 3)<sup>2</sup> = 4
 
(x + 1)<sup>2</sup> + (y - 3)<sup>2</sup> = 4
 
(x - 1)<sup>2</sup> + (y + 3)<sup>2</sup> = 2
 
(x + 1)<sup>2</sup> + (y + 3)<sup>2</sup> = 4
What is the equation of a circle whose center is (5, -1) and radius is 8
 
(x - 5)<sup>2</sup> + (y + 1)<sup>2</sup> = 64
 
(x - 5)<sup>2</sup> + (y - 1)<sup>2</sup> = 64
 
(x + 5)<sup>2</sup> + (y - 1)<sup>2</sup> = 64
 
(x + 5)<sup>2</sup> + (y + 1)<sup>2</sup> = 64
What is the equation of a circle whose center is (-3, -7) and radius is 5
 
(x + 3)<sup>2</sup> + (y + 7)<sup>2</sup> = 25
 
(x - 3)<sup>2</sup> + (y - 7)<sup>2</sup> = 25
 
(x - 3)<sup>2</sup> + (y - 7)<sup>2</sup> = 5
 
(x + 3)<sup>2</sup> + (y + 7)<sup>2</sup> = 5
What is the equation of a circle whose center is (2, 0) and radius is 4?
 
(x - 2)<sup>2</sup> + y<sup>2</sup> = 16
 
x<sup>2</sup> + (y - 2)<sup>2</sup> = 16
 
(x + 2)<sup>2</sup> + y<sup>2</sup> = 16
 
(x - 2)<sup>2</sup> + y<sup>2</sup> = 8
What is the equation of the circle whose center is (-1, 2) and radius is 9?
 
(x + 1)<sup>2</sup> + (y - 2)<sup>2</sup> = 81
 
(x - 1)<sup>2</sup> + (y + 2)<sup>2</sup> = 3
 
(x + 1)<sup>2</sup> + (y - 2)<sup>2</sup> = 9
 
(x + 1)<sup>2</sup> + (y - 2)<sup>2</sup> = 3
Find the center of the circle if its equation is (x - 10)2 + (y - 9)2 = 49
 
(10, 9)
 
(-10, -9)
 
(-9, -10)
 
(9, 10)
Find the center of the circle if its equation is (x - 7)2 + (y + 8)2 = 49
 
(7, -8)
 
(-7, 8)
 
(-8, 7)
 
(8, -7)
Find the center of the circle if its equation is (x + 2)2 + (y - 3)2 = 49
 
(-2, 3)
 
(2, -3)
 
(-3, 2)
 
(3, -2)
Find the center of the circle if its equation is x2 + y2 = 49
 
(0, 0)
 
(0, 7)
 
(7, 0)
 
(0, 49)
Find the radius of the circle if its equation is x2 + (y + 2)2 = 16
 
4
 
16
 
8
 
2
Find the radius of the circle if its equation is (x + 7)2 + (y + 8)2 = 81
 
9
 
81
 
7
 
8
Find the radius of the circle if its equation is (x+ 2)2 + (y - 3)2 = 183
 
13.5
 
183
 
2
 
3
Find the radius of the circle if its equation is x2 + y2 = 49
 
7
 
0
 
49
 
2
In the equation of a circle, what does (h, k) represent?
 
The coordinates of the center
 
The length of the radius
 
The length of the diameter
 
None of these
In the equation of a circle, what does r represent?
 
Length of the radius
 
Length of the diameter
 
Coordinates of the center
 
None of these