Aman has to get a fox, a chicken, and a sack of corn across a river. he has a rowboat, and it can only carry him and one other thing. if the fox and chicken are left together, the fox will eat the chicken. if the chicken and the corn are left together, the chicken will eat the corn. how does the man do it?

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.