anonymous
  • anonymous
What is the general form of the equation of a circle with its center at (-2, 1) and passing through (-4, 1)?
Geometry
chestercat
  • chestercat
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freckles
  • freckles
An equation for a circle with center (h,k) and radius r is: \[(x-h)^2+(y-k)^2=r^2\] so plug in your h and k
freckles
  • freckles
then use the point on (-4,1) to plug into (x,y) since (-4,1) is on the circle to find r
UsukiDoll
  • UsukiDoll
don't we also have (h,k) for the center ?

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freckles
  • freckles
yep that is the first step "plug in your h and k"
UsukiDoll
  • UsukiDoll
so since we have (-2,1) in the form of (h,k) we let h =-2, and k = 1
freckles
  • freckles
yes that is the h and k since my center of my equation I have above is (h,k) and the center of his is (-2,1) so yep he needs to replace h with -2 and k with 1

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