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Equation of a Circle

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