If the circumference of a circle is equal to the perimeter of a square, and the radius of the given circle is positive, then which of the following options is correct?

If the circumference of a circle is equal to the perimeter of a square.

circumference of a circle = perimeter of a square

$$2\times\ \pi\ \times\ radius\ =\ 4\times\ length\ of\ each\ side$$

$$2\times\ \frac{22}{7}\times\ radius\ =\ 4\times\ length\ of\ each\ side$$

Here the radius of the given circle is positive, then we need to find out the relation between the area of circle and square.

area of circle = $$\pi\ \times\left(radius\right)^2$$

= $$\frac{22}{7}\times\left(7y\right)^2$$

= $$\frac{22}{7}\times49y^2$$

= $$22\times7y^2$$

= $$154y^2$$    Eq.(i)

area of square = $$(length\ of\ each\ side)^2$$

= $$(11y)^2$$

= $$121y^2$$    Eq.(ii)

Eq.(i) > Eq.(ii)

$$154y^2$$ > $$121y^2$$

So Area of the circle > Area of the square