Final answer:
To find the center of a circle, we need to find the midpoint of the diameter. By using the midpoint formula and substituting the given endpoints, we can calculate the coordinates of the center.
Step-by-step explanation:
In order to find the center of a circle, we need to find the midpoint of the diameter. The midpoint formula is:
(x1 + x2)/2, (y1 + y2)/2
Using the given endpoints (1,2) and (3,4), we substitute the values into the formula:
(1 + 3)/2, (2 + 4)/2
Simplifying the calculation gives us the coordinates of the center, which are:
(2,3)
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