Question

Can someone please help me with this one??

Answer 1

x = 3.6 cm

Explanation:

By the theorem of intersecting secants,

"If two secants are drawn from a point outside the circle, product of the lengths of the secant segment and its external segment are equal."

3(3 + y) = 2(2 + 6 + 3)

9 + 3y = 2 × 11

3y = 22 - 9

3y = 13

y =
`(13)/(3)` cm = 4.33 cm

Now we will apply theorem of intersecting chords to determine the value of x.

" When two chords intersect each other in a circle, product of their segments are equal"

`x* 5=6* 3`

`x=(18)/(5)`

`x=3.6` cm

Therefore, x = 3.6 cm and y = 4.33 cm