A \greenD{3\,\text{cm} \times 2\,\text{cm}}3cm×2cmstart color #1fab54, 3, start text, c, m, end text, times, 2, start text, c, m, end text, end color #1fab54 rectangle sits inside a circle with radius of \blueD{4\,\text{cm}}4cmstart color #11accd, 4, start text, c, m, end text, end color #11accd. What is the area of the shaded region? Round your final answer to the nearest hundredth.