A rectangular acrylic sheet is 36 cm by 25cm. From it, 56 circular buttons, each of diameter 3.5cm have been cut out. Find the area of remaining sheet.
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Answered by
8
Answer:
area of remaining sheet = area of full sheet-area of all circles
area of full sheet =l×b
=36×25
=900cm^2
NOW, d=3.5cm
r=3.5/2cm
area of 1 circle=πr^2
=22/7×3.5/2×3.5/2
=9.625cm^2
area of 56 circles =56+9.625
=539cm^2
area of remaining sheet =900-539
=361cm^2
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Answered by
13
THANKS FOR THE QUESTION !
_______________________________
GIVEN :
=> DIMENSIONS OF A RECTANGULAR SHEET
LENGTH :
=> 36CM
BREADTH :
=> 25CM
_______________________________
AREA OF THE RECTANGULAR SHEET :
=> LENGTH * BREADTH
=> 36 CM * 25 CM
=> 900 CM^2
_______________________________
CONDITION :
=> 56 CIRCLES ARE CUT FROM THAT SHEET :
_______________________________
DIMENSION OF THE CIRCLE :
=> RADIUS :
=> DIAMETER / 2
=> 3.5 / 2 CM
=> 1.75 CM
_______________________________
AREA OF A CIRCLE :
=> π * R^2
=> 22 / 7 * 1.75 CM * 1.75 CM
=> 22 * 0.25 * 1.75
=> 9.625 CM^2
_______________________________
AREA FOR 56 CIRCLES :
=> AREA FOR 1 CIRCLE * NO. OF CIRCLES
=> 9.625 * 56
=> 539 CM^2
_______________________________
AREA OF SHEET STILL REMAINING :
=> AREA OF FULL SHEET - AREA NEEDED FOR THE CIRCLES
=> 900 CM^2 - 539 CM^2
=> 361 CM^2
_______________________________
HOPE IT WILL HELP U ......
THANKS AGAIN .........
_______________________________
_______________________________
GIVEN :
=> DIMENSIONS OF A RECTANGULAR SHEET
LENGTH :
=> 36CM
BREADTH :
=> 25CM
_______________________________
AREA OF THE RECTANGULAR SHEET :
=> LENGTH * BREADTH
=> 36 CM * 25 CM
=> 900 CM^2
_______________________________
CONDITION :
=> 56 CIRCLES ARE CUT FROM THAT SHEET :
_______________________________
DIMENSION OF THE CIRCLE :
=> RADIUS :
=> DIAMETER / 2
=> 3.5 / 2 CM
=> 1.75 CM
_______________________________
AREA OF A CIRCLE :
=> π * R^2
=> 22 / 7 * 1.75 CM * 1.75 CM
=> 22 * 0.25 * 1.75
=> 9.625 CM^2
_______________________________
AREA FOR 56 CIRCLES :
=> AREA FOR 1 CIRCLE * NO. OF CIRCLES
=> 9.625 * 56
=> 539 CM^2
_______________________________
AREA OF SHEET STILL REMAINING :
=> AREA OF FULL SHEET - AREA NEEDED FOR THE CIRCLES
=> 900 CM^2 - 539 CM^2
=> 361 CM^2
_______________________________
HOPE IT WILL HELP U ......
THANKS AGAIN .........
_______________________________
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