Jack's house is located at the origin (0,0). He walks 2 blocks right. Then, he walks 6 blocks up. Finally, he walks 3 blocks right and arrives at his destination, the library. What are the coordinates of the library?

A3cm×3cm\greend{3\,\text{cm} \times 3\,\text{cm}} 3cm×3cm start color greend, 3, space, c, m, times, 3, space, c, m, end color greend rectangle sits inside a circle with radius of 4cm\blued{4\,\text{cm}} 4cm start color blued, 4, space, c, m, end color blued . what is the area of the shaded region? round your final answer to the nearest hundredth.