Question

If the circumference of a circle and the perimeter of a square are equal, then

(A) Area of the circle = Area of the square

(B) Area of the circle > Area of the square

(C) Area of the circle Area of the square

(D) Nothing definite can be said about the relation between the areas of the
circle and square.


plese answer step by step explanetiom.​

Answer 1

Answer:

(B) Area of the circle > Area of the square

Step-by-step explanation:

let x be the perimeter and circumference of square and circle

then perimeter of square = x

4 side = x

side = x/4

and also circumference of the circle = x

2 $\pi$ r = x

2 * 22/7 * r = x

r = 7x/44

area of square (S) = side^2 = (x/4)^2 = x^2/16

area of the circle(c) =  $\pi$ r^2 = 22/7 * (7x/44)^2 =  7x^2/88

so (S) , (c) =

x^2/16 ,  7x^2/88                                LCM of 16 and 88 = 176

S = x^2/16 * 11/11 =  11x^2/176

C = 7x^2/88 * 2/2 = 14x^2/176

so here 11x^2/176 <  14x^2/176

so ,  S < C

(B) Area of the circle > Area of the square

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