# <span lang="EN-US

Let radius OA = OB = OD = r

DE = 8 cm

OE = OB – BE

OE = r – 4 In triangle ODE,

OD2 = DE2 + OE2

r2 = 82 + (r - 4)2

r2 = 64 + r2 + 16 - 8r

8r = 80

r = 10 cm

Hence, radius of circle = 10 cm.

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