Answer:
Option C. [tex]8.125\ in[/tex]
Step-by-step explanation:
we know that
In this problem
The chord FE is a diameter of the circle
Applying the intersecting chords theorem
Let
O------> the intersecting point of both chords
[tex]FO*OE=BO*OC[/tex]
substitutes the values
[tex]2*OE=3.5*3.5[/tex]
solve for OE
[tex]OE=3.5*3.5/2=6.125\ in[/tex]
The diameter is equal to
[tex]D=FO+OE[/tex]
[tex]D=2+6.125=8.125\ in[/tex]
