anonymous
  • anonymous
A circle has a diameter with endpoints (-10, -6) and (-2, -4). What is the equation of the circle? A.r2 = (x + 4)2 + (y + 5)2 B.r2 = (x + 6)2 + (y + 5)2 C.r2 = (x + 4)2 + (y + 1)2 D.r2 = (x + 6)2 + (y - 1)2
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
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anonymous
  • anonymous
Help anybody ?
zepdrix
  • zepdrix
|dw:1378481381663:dw|So this is our diameter right? We'll want to use the distance formula to find the length of the diameter. Oh nevermind they left it in terms of r^2 lol. This is a bit easier than I thought :P
anonymous
  • anonymous
haha i actually drew the same thing on my paper...just can't choose between B and C ..

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zepdrix
  • zepdrix
Oh maybe we do need to use the distance formula :o we need to find the center point right?
zepdrix
  • zepdrix
Oh oh oh ok. I was being silly. We don't want the distance formula. We want to use the `Midpoint Formula`.
zepdrix
  • zepdrix
The center of our circle, \(\Large C\), will be located at,\[\Large C=\left(\frac{-10-2}{2}, \quad \frac{-6-4}{2}\right)\]
zepdrix
  • zepdrix
We take the average of our x's, adding them together, then dividing by 2. That gives us the x coordinate of our center point. We do the same with the y coordinate.

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