Question

If the coordinates of the endpoints of the diameter of a circle are (1,2) and (7,-8) what are the coordinates of the center?

Answer 1

To find the coordinates of the center of a circle, use the midpoint formula with the given endpoints. The coordinates of the center are (4, -3).

Step-by-step explanation:

To find the coordinates of the center of a circle, we need to find the midpoint of the diameter. The midpoint formula is given by:

(x,y) = ((x1 + x2)/2, (y1 + y2)/2)

Using the given endpoints (1,2) and (7,-8), we can substitute the values into the midpoint formula to find:

(x,y) = ((1 + 7)/2, (2 + -8)/2)

Simplifying the expression, we get:

(x,y) = (4, -3)

Therefore, the coordinates of the center of the circle are (4, -3).