If you have 5 items, and you can fit 3 of them on a shelf, how
many choices do you have for the first item on the shelf? for the second
item? for the third item? How many different orders are possible for the 3
items chosen from 5 items?

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.