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katovenus [111]
3 years ago
10

In the circle below, CD is a diameter. If AE=10, CE=4, and AB=16, what is

Mathematics
1 answer:
Naily [24]3 years ago
8 0

Answer:

(D)9.5 Units

Step-by-step explanation:

We have two chords CD and AB intersecting at E.

Using the theorem of intersecting chords

AE X EB =CE X ED

  • AE=10
  • CE=4
  • AB=16

AB=AE+EB

16=10+EB

EB=16-10=6

Therefore:

AE X EB =CE X ED

10 X 6 = 4 X ED

ED =60/4 =15

Therefore:

CD=CE+ED

=4+15

CD=19

Recall that CD is a diameter of the circle and;

Radius =Diameter/2

Therefore, radius of the circle =19/2 =9.5 Units

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