Amy and Simon each bought a pair of shorts and some t shirts. Each pair of shorts cost the same amount, and each t shirt cost the same amount. Amy paid $60 dollars for one pair of shorts and 2 t shirts.
Simon paid $75 for one pair of shorts and 3 t shirts.

What was the cost in dollars of one pair of shorts

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.