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30 votes
Find the value of x.

X=?

Find the value of x. X=?-example-1
User Dropson
by
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1 Answer

17 votes
17 votes

Answer:

x = 22

Explanation:

Two chords are shown at the same distance from the center of the circle, each with its perpendicular bisector. Half the length of one chord is shown; the length of the other chord is wanted.

Chords

The length of a chord of a circle will depend on its distance from the center. Chords at the same distance have the same length.

The perpendicular bisector of a chord intersects the center of the circle. A segment drawn from the midpoint of a chord to the circle center will be perpendicular to the chord.

These facts allow us to conclude that the geometry of each of the chords shown is the same. Both segments from the center bisect the chord at right angles. Because those segments are the same length, the chords are the same length.

If the full length of the bottom chord is what is being indicated by x, then ...

x = 2×11

x = 22

User Shesek
by
3.3k points
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