Question

I need a fast answer please .Last option is its 54.9 cm^2

Answer 1

Given the figure shown in the picture, you can identify that there is a circle inside a square. Therefore, the area of the shaded region can be calculated by subtracting the area of the circle from the area of the square.

The formula for calculating the area of a circle is:

`A_c=\pi r^2`

Where "r" is the radius of the circle.

The formula for calculating the area of a square is:

`A_s=s^2`

Where "s" is the side length of the square.

Therefore, you can write the following formula for calculating the area of the shaded region:

`A_(sr)=s^2-\pi r^2`

In this case, you can identify that:

`\begin{gathered} s=16cm \\ \\ r=(16cm)/(2)=8cm \end{gathered}`

Therefore, by substituting values into the formula and evaluating, you get:

`A_(sr)=(16cm)^2-\pi(8cm)^2\approx54.9cm^2`

Hence, the answer is: Last option.