A line and a circle intersect at $A$ and $B,$ as shown below. Find the distance between $A$ and $B$. The line is x = 4, and the equation of the circle is x^2 + y^2 = 25.
The line is x = 4, and the equation of the circle is x^2 + y^2 = 25.
x2 + y2 = 25
42 + y2 = 25
16 + y2 = 25
y2 = 9
y = +3
AB = 3 – (–3) = 3 + 3
AB = 6
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+990 
