Question

6. In the given figure, the diameter CD of a circle
with centre O is perpendicular to chord AB. If
AB = 12 cm and CE = 3 cm, calculate the radius
of the circle.

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Answer 1

Answer:

let OA=OC=r cm then OE=(r-3) cm

AE=1/2 AB

in right angle OAE

OA^2=AE^2+OE^2

r^2=6^2+(r-3)^2

r^2=36+r^2-6r+9

6r=45

r=45/6=7.5cm

hence the radius of the circle is 7.5 cm