Question

What are the above circular shape cord FE is a perpendicular bisector if chord BC which of the following represents the diameter of the circle

Answer 1

c

Explanation:

Answer 2

Option C.
`8.125\ in`

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

`FO*OE=BO*OC`

substitutes the values

`2*OE=3.5*3.5`

solve for OE

`OE=3.5*3.5/2=6.125\ in`

The diameter is equal to

`D=FO+OE`

`D=2+6.125=8.125\ in`