Question

A circle with two chords is shown below. What is the value of X? Round the answer to the nearest tenth


The numbers given are 6, 14, 26

Answer 1

the answer to the question is D  11.1 

Answer 2

A circle with two chords is given. The numbers given are 6, 14, 26

So, The value of x from the figure is 3.23.

What is the relation between the line perpendicular to the chord from the center of the circle?

If the considered circle has center O and chord AB, then if there is perpendicular from O to AB at point C, that point C is bisecting(dividing into two equal parts) the line segment AB.

Or

|AC| = |CB|

Intersecting chord theorem state that the products of the lengths of the line segments on each chord are equal.

According to the given diagram;

$6\times 14 = 26 \timesx\\84 = 26x$

Divide both sides by 26

84/ 26 = x

x = 84/ 26

x = 3.23

Hence the value of x is 3.23.

Learn more on Intersecting chord theorem here:brainly.com/question/23732231

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