Use the Normal model N(1119,89) for the weights of steers. a) What weight represents the 37th percentile? b) What weight represents the 97th percentile? c) What's the IQR of the weights of these steers?

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.