Answer: [tex]x=\sqrt{12}\ inches[/tex]
Step-by-step explanation:
You need to remember the Intersecting chords theorem, which states that the products of the lengths of their segments are equal.
You can observe that the diameter is peperndicular to the chord. This divides the chord into two equal segments.
Therefore, based on this and knowing the theorem mentioned before, you can write the following expression:
[tex](x)(x)=(6)(2)[/tex]
Finally, you must solve for "x". So you get this result:
[tex]x^2=12\\\\x=\sqrt{12}\ inches[/tex]
