Answer:
ED = 8.
Step-by-step explanation:
Using the formula, P1 • P2 = P3 • P4, and labeling ED as X, you can plug in the rest of the numbers. AE = 4, because AB is bisected meaning it has two equal segments.
2•X = 4•4
2X = 16
X = 8
The value of ED is 8.
A chord of a circle indicates the straight line that joins any two random points on the circumference of the circle. The diameter of any circle is the largest chord of that circle and it passes through the center.
Given, the chord AB intersect with the chord CD internally.
We know, when two chords of a circle intersects internally, then products of the two parts of each chord is equal.
Therefore, AE × EB = CE × ED
Here, CE = 2, AE = EB = [tex]\frac{8}{2}[/tex] = 4.
Now, AE × EB = CE × ED
⇒ ED = (AE × EB) ÷ CE = (4 × 4) ÷ 2 = 8.
Learn more about the chord of a circle here: https://brainly.com/question/1654080?
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