how do i determine the center of a circle when given the endpoints of the diameter of a circle. example: (√7,-4) and (√2,3)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.2: Graphs Of Equations
Problem 69E
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how do i determine the center of a circle when given the endpoints of the diameter of a circle.

example: (√7,-4) and (√2,3)


Expert Solution
Step 1

We have given two end points of the diameter of the circle.  The center of the circle is the mid-point of the line joining of two end points of the diameter of the circle.

Mid -point (x,y) of two end-points (xy,) and x,y,) is given by
2 2
Step 2

Substituting values of x1, y1, x2 and y2 in formula, we get

Mid - point
(x, y) =7+2-4+3
2
2
2
2
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