# Circle

**Geometry**Level 2

Consider a circle of radius R.

There is a square inscribed in this circle.

Another circle is inscribed in this square.

Another square is then inscribed in this inner circle.

Finally a circle is inscribed in this inner square.

There are 3 circles & 2 squares as shown in the figure.

What is the radius of innermost circle?

There is a square inscribed in this circle.

Another circle is inscribed in this square.

Another square is then inscribed in this inner circle.

Finally a circle is inscribed in this inner square.

There are 3 circles & 2 squares as shown in the figure.

What is the radius of innermost circle?