Question

in the given figure a circle with center o is given in which a diameter AB bisects the chord CD at a point E such that CE= ED= 8cm and EB = 4cm. find the radius of the circle.

Answer 1

Answer:

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Soham Patil.

Answer 2

Let the radius of circle be x cm

OE=x-4

OC=x

CE=8cm

In triangle OCE

By pythagoras theorem

OC = CE +OE

OC =64+x^2-4x +16

x^2=64 +x^2-4x+16

4x=80

x=20