Let \(C_1\) be the circle of radius 2 centered at the origin \((0,0)\). Let \(C_2\) be the circle of radius 1 centered at the origin \((1,0)\).

1. Draw a picture of matching the above description and shade the region inside of \(C_1\) but outside of \(C_2\).
2. What is the area of the region you shaded ?
3. What is the ratio of the shaded area to the area inside \(C_1\) ?
4. What is the ratio of the area inside \(C_2\) to the area inside \(C_1\) ?