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The points (2,3) and (3,2) lie on a circle whose center is on the x-axis. What is the radius of the circle?

 Jan 13, 2021
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The center will be   x,0

the didttance from the center to the points is equal

use ditance formula for each point and equate them

(x-2)^2 + 3^2   = (x-3)^2 + 2^2

   -4x = -6x      x must = 0

 

center is at  0, 0

   calculate the distance to either of the points to find the radius

      3^2 + 2^2 = r^2

          13 = r^2                    then   r = sqrt (13)

 Jan 13, 2021

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