If Justin wants to put the peppers into baskets so that each basket has the same
number of mild peppers and the same number of hot peppers, what is the
greatest number of baskets he can make? How many of each type of pepper will
be in each basket?

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.