In the given figure, PQRS is a square and diameter of circle with cent

SOLUTION

Let the side of square be a cm.

then UO = a –  and UP =

Now, in ΔOUP,

OU² + UP² = OP²

Hence, side of square PQRS is 14 cm.

Now area of circle circumscribed by square PQRS

Radius of such circle = √2a/2 = 14√2/2 = 7√2 cm.

Area = πr²=(22/7)×7√2×7√2 = 308 cm²