Applying the Chords of a Circle Theorem, the length of AD is: 1.6 units.
What is the Chords of a Circle Theorem?
The theorem states that if the radius of a circle is perpendicular to a chord, it divides the chord into two equal halves.
Therefore, we have:
CD = DE = 11/2 = 5.5.
AB = BE = 10
Find DB using the Pythagorean theorem
DB = √(BE² - DE²)
DB = √(10² - 5.5²)
DB = 8.4
AD = AB - DB
AD = 10 - 8.4
AD = 1.6 units.
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