A ball is thrown into the air with an initial upward velocity of 60 ft/s and its height h in feet after t seconds is given by the function: h= -16t2 + 60t + 6, after how many seconds (to the nearest tenth of a second) will the ball hit the ground?

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.