the perimeter of a circle and of a square are equal if the perimeter of them is 44 CM then the area of which one is Greater and how much
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GIVEN :
=> PERIMETER OF A CIRCLE = PERIMETER OF A SQUARE
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PERIMETER GIVEN :
=> 44 CM
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PERIMETER OF A CIRCLE :
=> 2 * π * R
=> 2 * 22 / 7 * R
=> 44 * R / 7
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BUT,
=> PERIMETER IS GIVEN :
=> 44 CM
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RADIUS OF THE CIRCLE :
=> 44 CM = 44 * R / 7
=> R = 44 * 7 / 44 CM
=> R = 7 CM
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AREA OF THAT CIRCLE :
=> π * R^2
=> 22 / 7 * 7 CM * 7 CM
=> 22 * 7
=> 154 CM^2
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PERIMETER OF A SQUARE :
=> 4 * SIDE
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BUT PERIMETER IS GIVEN :
=> 44 CM
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SIDE OF THE SQAURE :
=> 44 CM = 4 * SIDE
=> SIDE = 44 CM / 4
=> SIDE = 11 CM
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AREA OF A SQAURE :
=> ( SIDE ) ^ 2
=> ( 11 ) ^ 2
=> 121 CM^2
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AREA OF CIRCLE :
=> 154. CM ^ 2
AREA OF THE SQAURE :
=> 121 CM ^ 2
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=> AREA OF A CIRCLE IS GREATER THAN THE AREA OF SQUARE
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GREATER AREA OF CIRCLE :
=> AREA OF CIRCLE - AREA IF SQUARE
=> 154 CM ^ 2 - 121 CM ^ 2
=> 33 CM ^ 2
_______________________________
HOPE IT WILL HELP U ......
THANKS AGAIN .......
_______________________________
______________________________
GIVEN :
=> PERIMETER OF A CIRCLE = PERIMETER OF A SQUARE
_______________________________
PERIMETER GIVEN :
=> 44 CM
_______________________________
PERIMETER OF A CIRCLE :
=> 2 * π * R
=> 2 * 22 / 7 * R
=> 44 * R / 7
______________________________
BUT,
=> PERIMETER IS GIVEN :
=> 44 CM
_______________________________
RADIUS OF THE CIRCLE :
=> 44 CM = 44 * R / 7
=> R = 44 * 7 / 44 CM
=> R = 7 CM
________________________________
AREA OF THAT CIRCLE :
=> π * R^2
=> 22 / 7 * 7 CM * 7 CM
=> 22 * 7
=> 154 CM^2
_______________________________
PERIMETER OF A SQUARE :
=> 4 * SIDE
_______________________________
BUT PERIMETER IS GIVEN :
=> 44 CM
_______________________________
SIDE OF THE SQAURE :
=> 44 CM = 4 * SIDE
=> SIDE = 44 CM / 4
=> SIDE = 11 CM
_______________________________
AREA OF A SQAURE :
=> ( SIDE ) ^ 2
=> ( 11 ) ^ 2
=> 121 CM^2
_______________________________
AREA OF CIRCLE :
=> 154. CM ^ 2
AREA OF THE SQAURE :
=> 121 CM ^ 2
_______________________________
=> AREA OF A CIRCLE IS GREATER THAN THE AREA OF SQUARE
_______________________________
GREATER AREA OF CIRCLE :
=> AREA OF CIRCLE - AREA IF SQUARE
=> 154 CM ^ 2 - 121 CM ^ 2
=> 33 CM ^ 2
_______________________________
HOPE IT WILL HELP U ......
THANKS AGAIN .......
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