Question

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

Answer 1

Answer:

(B) Area of Circle > Area of Square

Step-by-step explanation:

Accordi to the given condition,

Circumterence of a circle = Perimeter of square

2π r = 4a

[where, r and a are radius of circle and side of square respectively]

⇒22/7r=2a

⇒11r=7a

⇒a=11/7r⇒r=7a/11 ....(i)

Now, area of circle, A1=πr2

= π(7a11)2

=22/7×49a^2/121    [from Eq. (i)]

= 14a^2/11 ...(ii)

and area of square, A2=(a)2 ...(iii)

From Eqs. (ii) and (iii),

∴A1>A2

Hence, Area of the circle > Area of the square

If you are unable to understand the solution from the text, just go through the attachment....

Hope it helps