If the coordinates of one end of a diameter of a circle are (2, 3) and the coordinates of its center are (-2, 5), then the coordinates of the other end of the diameter are


Since the center divides the diameter into two equal halves.


Therefore by Midpoint Formula we have,


and y


Finding the coordinates of another end of diameter:


Finding x-coordinate:



-4 = 2 + x2


x2 = -4-2


x2 = -6


Finding y-coordinate:



10 = 3 + y2


y2 = 10-3


y2 = 7


Therefore the coordinates of another end of diameter are (-6, 7).

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