Bill saves some money in a box under his bed. He deposits an additional amount into a savings account where it earns interest compounded annually. This situation can be modeled by the function f (x) = 500 (1 +0.04)" + 200.
Which statement is true? Select all that apply.

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.