AB – the diameter of the circle. A (1; 4), B (-3; 7). Then the coordinates of the center of this circle will be.

The center of the circle will be the point that halves the diameter. The coordinates of the point C, which divides the segment in half, are equal to the average values of the coordinates of the same name for the ends of the segment:

Xc = (XA + XB) / 2 = (1 + (-3)) / 2 = -1;

Yc = (YA + YB) / 2 = (4 + 7) / 2 = 5.5;

Answer. The coordinates of the center of the circle are C (-1; 5.5).