Arecent census listed the population of a city as 831,982. marisol rounds the population to 830,000, and lindy rounds the population to 800,000. who rounded the population correctly? explain , and which rounded pop is a more accurate estimate?

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.