Question

What is the center of the circle that has a diameter whose endpoints are (6, -4) and (18, 10)?

Answer 1

(12, 3)

Explanation:

You're going to use the formula ( x1 + x2/2, y1 + y2/2).

This will allow you to plug in the points to solve for x and y. When you do this you will get (12, 3)

Answer 2

The center of the circle is the mid-point of every diameter.

When you have the (x,y) coordinates of the ends of a line segment,
the 'x' coordinate of the midpoint is the average of the 'x' coordinates
at the ends, and the 'y' coordinate of the midpoint is the average of the
'y' coordinates at the ends.

x(mid) = 1/2 (6 + 18) = 1/2 (24) = 12

y(mid) = 1/2 (-4 + 10) = 1/2 (6) = 3

The center of the circle is the point (12, 3) .