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Chords and arcs, find the value of cd

Chords and arcs, find the value of cd-example-1

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Answer:

CD = 14

Explanation:

Theorem of chords in a circle says,

If two chords are equidistant fro the center in a circle, then the chords will be equal in measure.

Therefore, AB ≅ CD

And a perpendicular drawn from the center bisects the chord in a circle.

AE ≅ EB ≅ 7 units

AB = AE + EB

AB = 2(EB)

Since CD = AB = 2(EB)

CD = 2×7 = 14 units

CD = 14 will be the answer.

User Chris Mitchelmore
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