aredding7069 aredding7069
  • 06-06-2018
  • Mathematics
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The point (5,4) lies on a circle. what is the length of the radius of this circle if the center is located at (3,2)

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Luv2Teach
Luv2Teach Luv2Teach
  • 06-06-2018
Use the x and y values from your point and the h and k from the center to write the equation you need to solve for r.  The general form of the equation for a circle is [tex](x-h) ^{2} +(y-k) ^{2} = r^{2} [/tex].  We will fill in accordingly: [tex](5-3) ^{2}+(4-2) ^{2} = r^{2} [/tex].  Solve for r to get that [tex]r= \sqrt{8} [/tex]
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