The vertices of a rectangle are A(2,-3)B(5,-3)C(5,5) and D(2,-5). Reflect the rectangle in the x-axis and then rotate the image 180 about the origin. List the coordinates of the final image

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.