Find the area of a circle circumscribing a square of side 6cm

1.	Find the area of a circle circumscribing a square of side 6cm
Answer» It is given that the circle circumscribes a square. •°• Diameter of circle = Diagonal of square Now, Side of square = 6 cm Diagonal of square = 2 √side = 2√6 cm Now, Diameter of circle = 2√6 cm Radius of circle = ( 2√6 ) / 2 = √6 cm Now, Area of circle = πr² = 22 / 7 × ( √6 )² = ( 22 / 7 ) × 6 = 18.85 cm²

Answer»

It is given that the circle circumscribes a square.

•°•

Diameter of circle = Diagonal of square

Now,

Side of square = 6 cm

Diagonal of square = 2 √side = 2√6 cm

Now,

Diameter of circle = 2√6 cm

Radius of circle = ( 2√6 ) / 2 = √6 cm

Now,

Area of circle = πr²

= 22 / 7 × ( √6 )²

= ( 22 / 7 ) × 6

= 18.85 cm²

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