The endpoints of the diameter of a circle are (-3, -8) and (-2,-1). What is the center of the circle?

1 Answer
Jun 25, 2018

Center of the Circle is #(-2.5, -4.5)#

Explanation:

The center of the circle will be the midpoint of the line segment representing the diameter.

Given the two end points (-3,-8) and (-2,-1), the mid-point has coordinates:

#x =( -3 + (-2))/2 = (-3 -2)/2 = -5/2 = -2.5# -----> x-cordinate

#y = (-8+(-1))/2 = (-8-1)/2 = -9/2 = -4.5# ----> y-cordinate

So the Center of the Circle is #(-2.5, -4.5)#

Note: The general formula for midpoint is as follows:

Midpoint, #M# = #((x_1 + x_2)/2 , (y_1 + y_2)/2)#

Hope this helps!