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McGraw Hill Integrated II, 2012

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McGraw Hill Integrated II, 2012 View details

3. Arcs and Chords

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Exercise 16 Page 737

If the chord and the radius are perpendicular, then the radius bisects the chord.

11

Practice makes perfect

We want to find the length of CE in the given circle.

Let's recall the Perpendicular Chord Bisector Theorem.

Perpendicular Chord Bisector Theorem
If a diameter or radius of a circle is perpendicular to a chord, then it bisects the chord and its arc.

Since the chord CD and the radius AB are perpendicular, we know that the radius bisects the chord. Chord length/Bisected → 22/2= 11 Therefore the length of CE is 11.

Subchapter links

Exercises p.736-740