Three Points on a circle: (-17,-2), (0,15), (9,-2). What is the equation of the circle?

Guest Jan 1, 2021

#1**0 **

Because the circumcenter is the intersection of perpendicular bisectors, we can graph two perpendicular bisectors from two lines. Then we know the circle's center, (-4,2). Once we get the radius, we can use the formula (x-a)^2+(y-b)^2=r^2 where a and b are the coordinates of the circles center.

:D

AvenJohn Jan 7, 2021