Question

Find the value of x, rounded to the nearest tenth.
Answer options: 3.8, 4, 2.7, 2.9

Answer 1

x =4

Explanation:

Refer the attached figure:

We will use Intersecting secants theorem

Theorem : When two secant lines intersect each other outside a circle, the products of their segments are equal. i.e.
`a* b = c * d`(refer the attached figure)

So, using this theorem

`x * 6 = 3 * 8`

`x = (24)/(6)`

`x = 4`

Hence the value of x is 4.

Answer 2

4

Explanation:

If two chords intersect externally, then the product of the length of the chord and the length of the part outside the circle is a constant.

Thus from the figure,

we can deduce that:

8×3=6×x

collecting the like terms together we get:

24=6x

x=4