Answer:
x = 10 units
Step-by-step explanation:
By theorem,
Perpendicular drawn from the center to the chord of a circle, bisects the chord.
AB = BC = 6
In right triangle ΔCBD,
By applying Pythagoras theorem,
CD² = BC² + BD²
= 6² + 8²
CD = [tex]\sqrt{36+64}[/tex]
= 10
Since, CD and the side measuring x are the radii of the circle D.
x = CD = 10 units
