Revise your geometry lessons to solve this riddle.

**What will be the ratio of the area of the bigger circle to that of the smaller circle in the following figure?**

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**Answer:**

Let the radius of the small circle be SR &

the radius of the large circle be LR.

Area of small circle = π x SR^2

Area of large circle = π x LR^2

If you see the figure you will notice that the radius of small circle = side of the square &

radius of the large circle = diagonal of the square.

(Diagonal of square)^2 = 2 x (Side)^2

We can write

LR^2 = 2 x SR^2

So we can write;

Area of large circle = π x 2 x SR^2

So the ratio of the areas is **2:1**.