Carter and his children went into a bakery where they sell cupcakes for $3 each and cookies for $0.50 each. Carter has $35 to spend and must buy a minimum of 15 cupcakes and cookies altogether. If x represents the number of cupcakes purchased and y represents the number of cookies purchased, write two inequalities.

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.