The Perimeter of a circle is equal
to the Perimeter of a Square
find the ratio
of
their areas,
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Step-by-step explanation:
perimeter of circle C = perimeter of square p
2πr = 4a [ 'r' is radius of circle and 'a' is side of square ]
=> r = 4a/2π => 2a/π
therefore area of circle = πr² = π(2a/π)²
=> π*4a²/π² => 4a²/π .........1
area of square = a² ...........2
area of circle ; area of square = 4a²/π : a²
=> 4/π : 1
=> 4 : π
=> 4 : 22/7
=> 28 : 22
=> 14 : 11
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