Geometry

Question Analysis

The main focus is on the property that chords which are equidistant from the center of a circle are equal in length. We will use this property to find the value of  by comparing the lengths of the two given chords.

 

Key Concept Explanation

In a circle, if the perpendicular distances from the center to two chords are equal (as indicated by the equal markings from the center to the chords in the diagram), then the lengths of those chords are equal. This is a fundamental property used to solve problems related to circle chords.

 

Step - by - Step Solution

1. Notice that the two chords are equidistant from the center of the circle, as shown by the equal - length segments from the center to the chords.

2. According to the property of chords equidistant from the center, the lengths of these chords are equal.

Since the given length of one chord (half of it is 17.1) implies the full length of that chord is

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