Math, asked by simran3734, 1 year ago

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

Answers

Answered by shreya32457
6
THANKS FOR THE QUESTION !

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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

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HOPE IT WILL HELP U ......

THANKS AGAIN .......

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