# The pictures belo

For figure 1, Side of square = 3 cm

If, Side of square = a cm

Diagonal of square = = As seen in figure,

Diameter of circle = Diagonal of square

Diameter of circle = √2 × 3 cm

Radius of circle = If r = radius of circle

Area of circle = π × r2 cm2

= ( )2

= cm2

≈3.14 4.5

≈14.13 cm2

For figure 2, From Pythagoras theorem,

(Hypotenuse)2 = (one side)2 + (other side)2

Diagonal of rectangle = (42 + 22)1/2

= (16 + 4)1/2

= √20 cm

As seen from figure,

Diagonal of rectangle = Diameter of circle = √20 cm

Radius of circle = If r = radius of circle

Area of circle = π × r2 cm2

= ( )2

= cm2

≈3.1415 200

≈628.3 cm2

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