Find the area of a circle whose circumference is the same as the perimeter of square of side 44 cm.
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Given :
Side of square = 44 cm
Perimeter of square = 4 ( side ) = 4 ( 44 ) = 176 cm
Now,
Perimeter of square = Circumference of circle ( given )
•°•
Circumference of circle = 176 cm
2πr = 176 cm
2 ( 22 / 7 ) ( r ) = 176
r = 28 cm
Area of circle = πr²
= ( 22 / 7 ) ( 28 )²
= 2464 cm²
Hence,
Area of circle = 2464 cm²
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