the circumference of circular plate is 44 cm and the perimeter of a square piece is also 44 cm whose area will be larger and by how much answer it
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Given :-
Circumference of a circle = 44 cm
Perimeter of square = 44 cm
To Find :-
Whose area is larger and by how much
Solution :-
We know that
Circumference = 2πr
44 = 2πr
44 = 2 × 22/7 × r
44 = 44/7 × r
44 × 7/44 = r
7 = r
Perimeter = 4 × side
44 = 4 × side
44/4 = side
11 = side
Area of circle = πr²
Area = 22/7 × (7)²
Area = 22/7 × 49
Area = 22 × 7
Area = 154 cm²
Area of square = side²
Area = (11)²
Area = 121 cm²
Hence
Area of circle is greater by (154 - 121) 33 cm
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