Q. 14.3( 60 Votes )

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Answer :


The dimensions of rectangular sheet are 36 cm by 25 cm.


The Area of rectangular sheet = 36 × 25 = 900 sq.cm


From this sheet, 56 circular buttons are cut as shown,


Diameter of each circle = 3.5 cm


radius of each button, r = 1.75 cm


Area of one button = πr2



Area of each button = 9.625 sq.cm


Total area of buttons cut = area of each button × 56


Total Area of buttons = 539 sq. cm


Area of remaining sheet (area shaded with blue) = (Area of rectangular sheet) – (total area of buttons)


Req. area = 900 – 539 = 361 sq.cm


Area of the remaining sheet is 361 sq.cm


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