From a rectangular metal sheet of side 30 cm and 40cm a circular sheet as big as possible is cut off. Find the area of the remaining sheet.

Answer :

We form our diagram , As :



So,
Diameter of circular sheet  =  30 cm , So radius of circular sheet  =  15 cm

Area of remaining sheet  =  Area of rectangular sheet  -  Circular sheet

Area of remaining sheet  =  Length  × Breadth  -  π r2

Area of remaining sheet  =  40 × 30   -  227× 15× 15

Area of remaining sheet  = 1200 - 49507

Area of remaining sheet  = 1200 - 707.14

Area of remaining sheet  = 492.86 cm2                             ( Ans )

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