Chapter 4.3, Problem 5PSA

To determine

To Calculate: Coordinates of centre of a circle.

Answer to Problem 5PSA

(-1, 8)

Explanation of Solution

Given information: Coordinates of end points of diameter of a circle are (2,6) and (-4,10)

Formula: midpoint formula.

Calculation: By midpoint formula, midpoint of a line segment joining the points $(x_1,y_1)$ and $(x_2,y_2)$ is given by

  $\left(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2}\right)$ .

  $\because$ Is midpoint of the diameter, hence coordinates of the centre is given by

  $\begin{array}{l}\left(\frac{2-4}{2},\frac{6+10}{2}\right)\\ =(-1,8)\end{array}$