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question 2 of 10 what is the length of chord \\( \\overline { s t } \\)…

Question

question 2 of 10
what is the length of chord \\( \overline { s t } \\) in \\( \odot p \\) below?
a. 7 units
b. 3.5 units
c. 6.4 units
d. 3.2 units

Explanation:

Step1: Recall the property of chords

In a circle, if two chords are equidistant from the center, then the chords are congruent.

Step2: Apply the property

Chord \( QR \) and chord \( ST \) are equidistant from the center \( P \) (both have a perpendicular distance of \( 3.2 \) from the center). Given the length of chord \( QR = 7 \) units.
Since \( QR\cong ST \) (by the equidistant - congruent chords property), the length of chord \( ST\) is also \( 7 \) units.

Answer:

A. 7 units