Question

If the end point of a diameter of a circle are -2,3 and 4,-5 then the coordinates of its center are

Answer 1

The coordinates of the center will be (1,-1).

Step-by-step explanation:

The center of a circle is the midpoint of any diameter of the circle.

Now, one diagonal of a circle has extremities (-2,3) and (4,-5).

Therefore, the coordinates of the center of the circle are the midpoint of the line segment joining those two given points.

So, the coordinates of the center will be  $(\frac{- 2 + 4}{2}, \frac{3 - 5}{2}) = (1,-1)$. (Answer)