Question 735112
Step 1: Find the Midpoint (h,k) of AB:

h  =   A1 + B1 
   2 


h  =   -4 + 6 
   2 


h  =   2 
   2 

h = 1


k  =   A2 + B2 
   2 


k  =   3 + -2 
   2 


k  =   1 
   2 

k = 0.5
From above, the center of our circle is (h, k) = (1, 0.5)

Calculate radius:
r = Square Root((y1 - x1)2 + (y2 - x2)2)
r = Square Root((6 - -4)2 + (-2 - 3)2)
r = ½Square Root((102 + -52))
r = ½√(100 + 25)
r = ½√125
r = ½√125
r = ½(11.1803398875)
r = 5.5902

Now calculate our circle equation using (h, k), and r
Find the equation of the circle with center (h,k) = (1,0.5) and radius r = 5.5902
The standard equation for a circle is (x - h)2 + (y - k)2 = r2

Plugging in our numbers, we get:
(x - 1)2 + (y - 0.5)2 = 5.5902^2
(x - 1)2 + (y - 0.5)2 = 31.25033604

plug x= 0

you will get two values of y

add up the two intercepts to get the length of the chord