A
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.