Q. 94.3( 11 Votes )

# In the given figu

Given: CE = ED = 8 cm and EB = 4 cm

Construction: Join OC (OC is radius)

Let AB = 2x (diameter)

OB = OC = x (radius)

In Δ COE

CO2 = CE2 + OE2

x2 = 82 + (OB – EB)2

x2 = 82 + (x – 4)2

x2 = 82 + x2 + 42 – 2(x)(4)

x2 = 64+ x2 + 16 – 8x

8x = 64+ 16 + x2 – x2

8x = 80

x = = 10

Radius = x = 10 cm

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