Find the length of the chord of the circle x^2+y^2=25 that is determined by the line x=3.

Answer 1

x² + y² = 25 is a radius 5 circle with center at origin:

The length of the chord is 8

Answer 2

The graph of x = 3 is a vertical line that intersects the circle at (3,4) and (3,-4).

Length of chord = distance from (3,4) to (3,-4) = √[(3-3)² + (-4-4)²] = √64 = 8.