Question

In the circle above, DE = 2, CE = 6, and BE = 3.

What is the measure of EA?
A) 2
B) 3
C) 6
D) 4

Answer 1

Answer: The correct option is (D) 4.

Explanation:

According to the intersecting chords theorem, if two chords intersect in a circle then the products of the length of the chord segment are equal.

Given:

DE = 2

CE = 6

BE = 3

Now calculating the the value of EA.

As per theorem:

`DE* CE=BE* EA`

Now putting the all the given values in this expression, we get:

`2* 6=3* EA\\\\EA=4`

Therefore, the measure of EA is 4.