Question

If the perimeter of the cirlce is equal that of the sqaure then the ratio of their areas is

Answer 1

14:11 circumference=perimeter
a=pi x r/2

ratio=pi x r^2\a^2=
         pi x r^2 x 4/pi^2 r^2
      =28:22
     =14:11

Answer 2

Answer:

The ratio of their areas 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 b 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 parameter of circle and parameter of the square is equal, so a relation generates;

2*π*r = 4*x

π *r = 2*x

(π *r)/2 = x → (A)

Now taking ratio of their areas,

π*r² : x²

Taking square roots on both sides;

√π*r : x

Substituting the values of equation (A) implies;

√π*r : (π *r)/2

√π : 2

Answer.