Consider circle O. If AE = 7, EC = 2, and BE = 4, what is ED?

Solution:

Chord AC and BD are intersecting inside the circle.

By Intersecting chords theorem: “If two chords intersect in a circle then the products of measure of the segment of the chord are equal.”

From the figure chord, AC and BD intersect at E.

(AE) × (EC) = (BE) × (ED)

7 × 2 = 4 × ED

ED = 7/2 = 3.5 cm

Consider circle O. If AE = 7, EC = 2, and BE = 4, what is ED?

Summary:

From the given circle O, if AE = 7, EC = 2, and BE = 4, ED is 3.5 cm