Question

Find the value of x, rounded to the nearest tenth

A. 24.5
B. 18
C. 16.1
D. 2

Answer 1

B. 18

Explanation:

Given:

There are two chord in the circle.

These chords are divided in two segments.

Segments of 1 chord is 21 and 6.

Segments of 2 chord is x and 7.

Now by using Intersecting Chord Theorem which states,

"When two chords intersect each other inside a circle, the products of their segments are equal."

Hence from above theorem we can say that;

`x*7=21*6\\7x = 126\\x= (126)/(7)\\x=18`

Hence the Value of x is 18.