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Equation of a Circle (Modeling Geometry)

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  • C is the center of the circle shown below.  What is the equation of circle C?
    (<i>x </i>+ 2)<sup>2</sup> + (<i>y </i>- 1)<sup>2</sup>= 3
    (<i>x </i>- 2)<sup>2</sup> + (<i>y </i>+ 1)<sup>2</sup>= 3
    (<i>x </i>- 2)<sup>2</sup> + (<i>y </i>+ 1)<sup>2</sup>= 9
    (<i>x </i>+ 2)<sup>2</sup> + (<i>y </i>- 1)<sup>2</sup>= 9
  • A circle has the equation (x-3)2&nbsp; + (y + 5)2 = 36.&nbsp; Which of the following statements is&nbsp;false?
    The x-coordinate of the center is 3.
    The point (3, 1) lies on the circle.
    The radius of the circle is 6.
    The y-coordinate of the center is 5.
  • Which is the equation of a circle centered at origin and that passes through the point (-8,0)
    (<i>x </i>- 3)<sup>2</sup> + (<i>y </i>- 5)<sup>2</sup>= 64
    <i>x</i><sup>2</sup> + <i>y</i><sup>2</sup>= 64
    (<i>x </i>- 3)<sup>2</sup> + (<i>y </i>- 5)<sup>2</sup>= 34
    <i>x</i><sup>2</sup> + <i>y</i><sup>2</sup>= 34
  • A circle has the equation x2 + y2=16.&nbsp; What is the radius of the circle?
    16
    32
    256
    4
  • Which point lies on the circle whose equation is (x - 3)2+ (y + 3)2= 45
    (1, 3)
    (3,3)
    (2,3)
    (0, 3)
  • A circle has the equation (x+5)2 + (y-2)2 = 9.&nbsp; What is the center of the circle?
    (2, -5)
    (5, -2)
    (-5, 2)
    (-2, 5)
  • The center of a circle is at (6, -7) and the diameter of the circle is 22.&nbsp;Choose its equation.
    (<i>x </i>+ 6)<sup>2</sup> + (<i>y </i>- 7)<sup>2</sup>= 121
    (<i>x </i>+ 6)<sup>2 </sup>+ (<i>y </i>- 7)<sub>2</sub>= 11
    (<i>x </i>- 6)<sup>2</sup> + (<i>y </i>+ 7)<sup>2</sup>= 121
    (<i>x </i>- 6)<sup>2</sup>+ (<i>y </i>+ 7)<sup>2</sup>= 11
  • What is the circumference of a circle whose equation is whose equation is 2x2 + 2y2= 8?&nbsp;&nbsp; :-D
    100.48 units
    50.24 units
    12.56 units
    25.12 units
  • C is the center of the circle shown below.&nbsp; What is the equation of circle C?
    (<i>x </i>- 1)<sup>2</sup> + (<i>y </i>- 3)<sup>2</sup>= 100
    (<i>x </i>+ 1)<sup>2</sup> + (<i>y </i>+ 3)<sup>2</sup>= 100
    (<i>x </i>+ 1)<sup>2</sup> + (<i>y </i>+ 3)<sup>2</sup>= 25
    (<i>x </i>- 1)<sup>2</sup> + (<i>y </i>- 3)<sup>2</sup>= 25
  • What is the equation of a circle with center (2, 4) and radius 5?
    (x+2)<sup>2</sup>+(y+4)<sup>2</sup> = 25
    (x-2)<sup>2</sup>+(y-4)<sup>2</sup> = 25
    (x-2)<sup>2</sup>+(y-4)<sup>2</sup> = 5
    (x+2)<sup>2</sup>+(y+4)<sup>2</sup> = 5
  • Select the equation of a circle&nbsp;whose center is&nbsp;at (-5, 0), and&nbsp;its diameteris 18.&nbsp;
    (<i>x </i>+ 5)<sup>2</sup>+ <i>y</i><sup>2 </sup>= 81
    (<i>x </i>- 5)<sup>2</sup>+ <i>y</i><sup>2</sup>= 9
    (<i>x </i>- 5)<sup>2</sup>+ <i>y</i><sup>2 </sup>= 81
    (<i>x </i>+ 5)<sup>2</sup>+ <i>y</i><sup>2</sup>= 9