Thomas and Candice both mowed lawns this summer. Thomas mowed 35 lawns and also received $150 in tips. Candice mowed 30 lawns but got $275 in tips. They both charged the same price per lawn. How much did they charge to mow a lawn?

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.