Question

perimeter of a square and a circle are equal then which has greater area square or the circle​

Answer 1

Answer:

Perimeter of a square is given by 4a and the perimeter of a circle is given by 2πr. Now place the value of equation (i) in the formula of area of a Circle. Now, comparing the equations (iii) and (iv) we find that 1.27a2>a2. Therefore, the area of a Circle is greater than the area of a square.

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Step-by-step explanation:

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Answer 2

Let the radius of the circle ber.

∴ Area of Circle= πr

2

.

and the circumference=2πr

The perimeter of the square is equal to circumference of circle.

∴ Its one side =1/4×2πr= 2πr.

So Area of Square =( πr/2)^2.

∴

AreaOfSquare

AreaOfcircle =πr^2:(πr/2^2) = 4/π=4×7/22= 14/11>1.

So, Area of Circle > Area of Square