Final answer:
To find the area of the paper that is left after Max cuts a circle from the rectangle, subtract the area of the circle from the area of the rectangle.
Step-by-step explanation:
To find the area of the paper that is left after Max cuts a circle from the rectangle, we need to subtract the area of the circle from the area of the rectangle. We are given that the area of the rectangle is 12(2)/(3)cm² and the area of the circle is 4(5)(6)/6 cm².
A rectangle can be divided into two parts: the rectangle that surrounds the circle and the circle itself. Given that the area of the rectangle is 12(2)/(3)cm² and the area of the circle is 4(5)/(6)cm², we can subtract the area of the circle from the area of the rectangle to determine the area of the paper that is left: 12(2)/(3) - 4(5)/(6) = 24/3 - 20/6 = 8 - 10/6 = 8 - 5/3 = 8 - 1(2)/(3) = 6(1)/(3) cm².