Answer:
x = 5.
Step-by-step explanation:
x is the radius of the circle.
The line of length 4 bisects the chord of length 6 into 2 line segments of length 3.
If we draw a line from the centre to where the chord of length 6 meets the circle we have another radius.
This is also the hypotenuse (h) of a right triangle, so we have a right triangle whose legs are 3 and 4, then:
h^2 = 4^2 + 3^2 = 25
h = 5
x = 5 (as x and h are both radii).
