Shauna is painting an emoji face mural, as shown.

The eyes are square with side lengths of 10
The mouth is three squares put together
The circle has a radius of 55

a. What is the area of the eyes and mouth, combined?
b. What is the area of the circle?
c. What is the area of the shaded region (the circle without the squares and rectangles?
d. If Shauna wants to glue a ribbon around the emoji's perimeter, how much ribbon would she need?

1- what do you think the product of a nonzero rational number and an irrational number is? is it rational or irrational? make use of variables, the closure property of integers, and possibly a proof by contradiction to prove your hypothesis.2- why do we have to specify that the rational number must be nonzero when we determine what the product of a nonzero rational number and an irrational number is? if the rational number were 0, would it give us the same result we found in the first question?