Atoddler was given 12 boxes of crayons, each of which contained 12 crayons. within a week, he eventually lost half of the crayons and broke a quarter of the remaining crayons. how many intact crayons did the toddler have at the end of the week?

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.