Lamar will rent a car for the weekend. He can choose one of two plans. The first plan has an initial fee of 46 and costs an additional 0.13 per mile driven. The second plan has an initial fee of 51 and costs an additional per mile driven.

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.