in a figure, a cirlce is inscribed in a sqaure of side 5cm and another circle is circumscribing the square. is it trur to say that area of the outer circle is two times the area of the inner circle? give reason

The circle inscribed in the square will have its diameter as 5 so its radiya will be 5/2 and so its area will be 275/14.
Now, find the diagonal of the sqaure by using phythagoras theorem and you will get it 5?2.
Now, if you see you will find that the diagonal of the square is also the diameter of the bigger circle. So the radius of the bigger circle will be5?2/2= 5/?2 and thus the area of bigger circle will be 275/7.
Now comparing both quantities you will find that the area of the bigger circle is double of the smaller once.