Kyle shoots an arrow during an archery lesson at camp. The height of the arrow can be modeled by the
equation h =-4t(4t - 12), where h is the height in feet of the arrow and t is the time in seconds. How
long is the arrow in the air?
The arrow is in the air for
arrow is in the air for
second(s).

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.