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
Mistype I think, A is the same as C.
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.