Geometry

Question Analysis

The main focus is on the property that chords equidistant from the center of a circle are equal in length. We'll use this property, along with the fact that the given length represents half of a chord, to find the value of .

 

Key Concept Explanation

In a circle, when two chords are equidistant from the center (as indicated by the equal markings from the center to the chords), their lengths are equal. Also, when a line from the center is perpendicular to a chord, it bisects the chord.

 

Step - by - Step Solution

1. Since the two chords are equidistant from the center (shown by the equal - length segments from the center to the chords), they are of equal length.

2. The given length of 5.9 is half of a chord. To find the full length of the chord (which is ), we multiply by 2.

So,

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