# <span lang="EN-US Let radius OA = OC = OD = r

Chord AB = 12 cm

OE = OC – CE

OE = r – 3

AE = (1/2) AB

AE = (1/2) 12 = 6 cm

In triangle AOE,

OA2 = AE2 + OE2

r2 = 62 + (r - 3)2

r2 = 36 + r2 + 9 - 6r

6r = 45

r = 7.5 cm

Hence, radius of circle = 7.5 cm.

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