Question

The Perimeter of a circle is equal
to the Perimeter of a Square
find the ratio
of
their areas,​

Answer 1

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