Question

A circle has a diameter with endpoints of (-1, 5) and (5, 3). What is the center of the circle? A. (2, 4) B. (4,4) C. (2,5) D. (5,1)​

Answer 1

The center of the circle is found by calculating the midpoint of the diameter with given endpoints (-1, 5) and (5, 3), resulting in the center at (2, 4).

Step-by-step explanation:

The center of a circle can be found by determining the midpoint of its diameter. The endpoints of the diameter are given as (-1, 5) and (5, 3). To find the midpoint (which is the center of the circle), we average the x-coordinates and the y-coordinates separately.

The midpoint formula is:
((x1 + x2) / 2, (y1 + y2) / 2).

So the center is:
((-1 + 5) / 2, (5 + 3) / 2) = (2, 4).

Therefore, the correct answer is A. (2, 4).