A quarter circle shaped piece of paper with radius r units is cut along the line shown in Figure 1 that divides this quarter circle into two equal parts, and one piece is discarded. Then, the remaining piece is cut along the line shown in Figure 2 to obtain two pieces as shown in Figure 3. The upper surface of the larger piece obtained is painted blue, and the upper surface of the smaller piece is painted yellow. Accordingly, what is the ratio of the blue painted area to the yellow painted area? A) $\pi$ B) $\pi - 1$ C) $\pi - 2$ D) $\frac{\pi}{2}$
A quarter circle shaped piece of paper with radius r units is cut along the line shown in Figure 1 that divides this quarter circle into two equal parts, and one piece is discarded. Then, the remaining piece is cut along the line shown in Figure 2 to obtain two pieces as shown in Figure 3. The upper surface of the larger piece obtained is painted blue, and the upper surface of the smaller piece is painted yellow.
Accordingly, what is the ratio of the blue painted area to the yellow painted area?
A) $\pi$
B) $\pi - 1$
C) $\pi - 2$
D) $\frac{\pi}{2}$