3 cm×2 cm\greenD{3\,\text{cm} \times 2\,\text{cm}}

3cm×2cm

start 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

4 cm\blueD{4\,\text{cm}}

4cm

start 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.