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Eleventh Grade (Grade 11) Circles Questions

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Grade 11 Circles
If the points (1, 2) and (-5, 2) are endpoints of a diameter of a given circle, what is the equation of this circle?
  1. [math] (x-1)^2 + (y-2)^2 = 1 [/math]
  2. [math] (x+5)^2 + (y-2)^2 = 9 [/math]
  3. [math] (x+2)^2 + (y-2)^2 = 9 [/math]
  4. [math] (x+3)^2 + y(-1)^2 = 3 [/math]
Grade 11 Circles
What is the center and radius of the circle given by the following equation?
[math] x^2 + y^2 - 18x + 6y + 65 = 0 [/math]
  1. [math] "Center": (18, -6), \ "Radius": 65 [/math]
  2. [math] "Center": (9,-3), \ "Radius": 5 [/math]
  3. [math] "Center": (0,0), \ "Radius": sqrt(65) [/math]
  4. [math] "Center": (-9,3), \ "Radius": 25 [/math]
Grade 11 Circles
What is the center and radius of the circle given by the following equation?
[math]x^2 + y^2 -2x +10y + 22 = 0 [/math]
  1. [math]"Center": (0, 0), \ "radius": sqrt(22)[/math]
  2. [math]"Center": (-2, 10), \ "radius": sqrt(22)[/math]
  3. [math]"Center": (1,-5), \ "radius": 2[/math]
  4. [math]"Center":(1,-5), \ "radius": 4[/math]
Grade 11 Circles
Write an equation for a circle if the endpoints of a diameter are at (1,1) and (1,-9).
  1. [math](x-1)^2+(y+4)^2=5[/math]
  2. [math](x-1)^2+(y+4)^2=25[/math]
  3. [math](x+1)^2+(y-4)^2=5[/math]
  4. [math](x+1)^2+(y-4)^2=25[/math]
Grade 11 Circles
Write an equation for the circle with center (2,1) that passes through (2,4).
  1. [math](x-2)^2+(y-1)^2=9[/math]
  2. [math](x-2)^2+(y-1)^2=3[/math]
  3. [math](x+3)^2+(y+1)^2=9[/math]
  4. [math](x+3)^2+(y+1)^2=3[/math]
Grade 11 Circles
Given the equation of a circle, [math](x-3)^2+(y+5)^2=10[/math], what is the circle's radius?
  1. [math]5[/math]
  2. [math]100[/math]
  3. [math]sqrt5[/math]
  4. [math]sqrt10[/math]
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