Question

If points (–5, 8) and (4, –2) represent the endpoints of the diameter of circle D, then which point represents the center of circle D?

Answer 1

Answer:

The center of circle D is (-0.5,3)

Step-by-step explanation:

Given the end points of diameter: (-5,8) and (4,-2)

To find: Center of the circle.

Center is in the middle of the diameter. Therefore we have to find the midpoint of the diameter.(refer figure)

Midpoint of a line with end points (x1, y1) and (x2, y2) is given by

(   $\frac{x1+x2}{2}$ , $\frac{y1+y2}{2}$  )

(   $\frac{-5+4}{2}$  , $\frac{8-2}{2}$   )

(-0.5,3)

Hence the center of circle D is ( -0.5,3)