Question

what is the end point of the diameter. the center of circle is (4,6) and endpoint of a diameter is (2,5)

Answer 1

If the center of the circle is at (4,6), the diameter that has one end at (2,5) must have the other end at (6,7) and the other end must be at the same distance and on the same line.
Let's call the point we are looking for (x,y).

Answer 2

You can say that the center of the circle is the mid point of that diameter.
So,
\[4= {(x+2)/ 2}\] and \[6={(y+5)/2}\]

and solve the eqn. for x and y

Answer 3

@Carlton_Hunter22 do u get