brooklyndye5458 brooklyndye5458
  • 04-04-2022
  • Mathematics
contestada

The point (3, 4) is on a circle with a center (1, 4).
Find the radius of the circle.
Write the standard equation of the circle.
Graph the circle.

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jdoe0001 jdoe0001
  • 04-04-2022

Check the picture below.

[tex]\textit{equation of a circle}\\\\ (x- h)^2+(y- k)^2= r^2 \qquad center~~(\stackrel{1}{ h},\stackrel{4}{ k})\qquad \qquad radius=\stackrel{2}{ r} \\\\[-0.35em] ~\dotfill\\\\ (x-1)^2~~ + ~~(y-4)^2~~ = ~~2^2\implies (x-1)^2~~ + ~~(y-4)^2~~ = ~~4[/tex]

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