avanteclark181 avanteclark181
  • 24-07-2017
  • Mathematics
contestada

A(-3, 9) and B(5, 9) are the endpoints of the diameter of a circle. Use these points to find the standard equation of the circle.

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jdoe0001 jdoe0001
  • 24-07-2017
check the picture below.

notice the midpoint of the diameter segment, is just 1,9.

also, recall the radius is half the diameter, notice how long the radius is, just 4 units.

[tex]\bf \textit{equation of a circle}\\\\ (x-{{ h}})^2+(y-{{ k}})^2={{ r}}^2 \qquad \begin{array}{lllll} center\ (&{{ h}},&{{ k}})\qquad radius=&{{ r}}\\ &1&9&4 \end{array} [/tex]
Ver imagen jdoe0001
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