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?

Guest Jan 13, 2021

#1**0 **

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)

Guest Jan 13, 2021