Question

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

Answer 1

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!