The circle centered at (2,-1) and with radius 4 intersects the circle centered at (2,5) and with radius sqrt(17) at two points A and B. Find (AB)^2.
The circle centered at (2,-1) and with radius 4 intersects the circle centered at (2,5) and with radius sqrt(17) at two points A and B. Find (AB)2.
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Center C = (2, -1) center D = (2, 5) CD = 6
AC = 4 AD = √17
AB and CD intersect at point N
CN = x DN = 6 - x
x / 4 = (6 - x) / √17 x = - 24(4 - √17) = 2.954535015
(AB)2 = (2x)2
