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
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.