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An archeologist found the remains of an ancient wheel, which she then placed on a grid. If an arc of the wheel passes through A(7, 0), B(3, 4) and C(7, 0), locate the center of the wheel, and the standard equation of the circle defining its boundary

 Jun 30, 2017
 #1
avatar+893 
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Mistype I think, A is the same as C.

 Jun 30, 2017
 #2
avatar+33661 
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If we suppose point C should be (0, 7) then the centre of the circle lies at infinity, because the three points lie on a straight line!! 

 

Otherwise we must wait wait for the questioner to post corrected coordinates.

 Jun 30, 2017

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