A rectangular acrylic sheet is 36cm by 25cm Amit from it 56 circular buttons each of diameter 3.5 CM have been cut out find the area of the remaining sheet
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Length of sheet = 36 cm
Width of sheet = 25 cm
Area of sheet = 36 × 25 = 900 cm^2
Area of 56 buttons = 56 × pi × r^2
= 56 × 22 × 3.5 × 3.5 / 7 × 2 × 2
= 2 × 22 × 3.5 × 3.5
= 11 × 7 × 7
= 11 × 49
= 539 cm^2
Remaining Area = Area of sheet - Area of circular buttons
= 900 - 539
= 361 cm^2
Width of sheet = 25 cm
Area of sheet = 36 × 25 = 900 cm^2
Area of 56 buttons = 56 × pi × r^2
= 56 × 22 × 3.5 × 3.5 / 7 × 2 × 2
= 2 × 22 × 3.5 × 3.5
= 11 × 7 × 7
= 11 × 49
= 539 cm^2
Remaining Area = Area of sheet - Area of circular buttons
= 900 - 539
= 361 cm^2
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