Question

What is the value of n?

Enter your answer in the box.

n =
cm
Circle with two intersecting chords forming an x shape in the circle. The top left side of the x shape is labeled 4 centimeters. The top right side of the x shape is labeled 3 centimeters. The bottom left side of the x is labeled n. The bottom right side of the x is labeled 6 centimeters.

Answer 1

8 centimeters

Explanation:

The ratio the 3 and the 6 is 1:2. Plug in the 4 for the 1 so it becomes 4:(4)2. 4x2=8 so 4:8

Answer 2

The value of n will be 8 centimeters.

Explanation:

As we know that

Two chords at a point inside the circle.

The product of the segments of the intersecting chords are equal.

From the figure a attached below, the segments of one chord are 4 and 6 centimeters.

The segments of other cord are n and 3 centimeters.

As the product of the segments of the intersecting chords are equal.

so

`n\:*\:3\:=\:4\:*\:6`

`n\cdot \:3=24`

`\mathrm{Divide\:both\:sides\:by\:}3`

`(n\cdot \:3)/(3)=(24)/(3)`

`n=8`

Therefore, the value of n will be 8 centimeters.