Write an expression for the area of the shaded region in its simplest form. Show all of your steps. (2 points) BoldItalicUnderlineIncrease indentDecrease indentFormula keypad

Answer 1

To find the area of the shaded region, we need to subtract the area of the smaller shape from the area of the larger shape.

Area of the larger shape (circle):
A = πr^2

Area of the smaller shape (square):
area = side^2

Given that the radius of the circle is 6 cm, this means the side length of the square is also 6 cm.

Plugging in the values:
Area of circle = π(6)^2 = 36π
Area of square = 6^2 = 36

Now, we subtract the area of the square from the area of the circle:
Area of shaded region = 36π - 36 = 36(π - 1) cm^2

Therefore, the expression for the area of the shaded region in its simplest form is 36(π - 1) cm^2.