Question

what will be the ratio of perimeters of a square and a circle if their areas are equal

Answer 1

hyy dear

area of circle=a2

ar-- of circle=πr2

πr2=a2

r=a/√π

circumference of circle/perimeter of square

=2πr/4a

=(2πa/√π)/4a

=2πa/√π4a

so ratio is

=√π/2

may b u liked

otherwise u can report it

thnx

Answer 2

Answer:

The ratio of their parameters will be √π : 2

Step-by-step explanation:

Let us consider the radius of a circle is 'r'

So the area of a circle is A = π*r²

and the parameter of the circle is 2*π*r

Let the sides of a square be x

So the area of the square is A = x*x = x²

and the parameter of square is 4*x

According to the given condition, the area of circle and area of the square is equal, so a relation generates;

π*r² = x²

Taking square root on both sides of the upper relation,

√π *r = x → (A)

Now taking ratio of their parameters,

2*π*r : 4*x

π*r : 2*x

Substituting the values of equation (A) implies;

π*r : 2*√π *r

√π : 2

Answer.