Question

May someone explain how to do this Geometry problem?

Answer 1

I'm trying to find the value of X.;)

Answer 2

Does the vertical line pass through the centre of the circle?

Answer 3

yes

Answer 4

And the length of the vertical line is 9 + 4 = 13?

Answer 5

I don't know, you see everything that I have.

Answer 6

Okay, the two numbers there are 9 and 4, right?
I just want to make sure I got the right value given in the question.

Answer 7

Yes

Answer 8

the product of the segments of intersecting chords are equal

so use that fact to set up an equation

Answer 9

the segments on the horizontal chord are x and x

the segments on the vertical and 9 and 4

Answer 10

Okay, here we go.
Since the vertical line passes through the centre of the circle, it's a diameter.
So, length of the diameter = 9+4 = 13
Radius = 13/2 = 6.5