A circle of radius 2 cm is cut out from a square piece of an aluminium sheet of side 6 cm. What is the area of the left over aluminium sheet? (Take π = 3.14)

Given

From the given details we get to know that

Radius of circle = 2 cm

Square sheet side = 6 cm

Find out

We have to determine the area of the left over aluminium sheet

Solution

We know that

Area of the square = side2

= 62

= 36 cm2

Area of the circle = πr2

= 3.14 × 22

= 3.14 × 2 × 2

= 3.14 × 4

= 12.56 cm2

Also

The area of the remaining part = Area of aluminum square sheet – area of circle

= 36 – 12.56

= 23.44 cm2

Answer

The area of remaining sheet=23.44 cm2

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