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Gbrener · Answer 1 · 2023-02-11T20:52:49+0000

SOLUTION

Step 1:

The area of the shaded figure =

Area of the square - area of the circle

Step 2: Find the area of the square

$\begin{gathered} \text{Area = l}^2 \\ \text{Where l = length of the square.} \end{gathered}$

To find the length of the square, we have to use the diameter of the circle.

The diameter of the circle d:

$\begin{gathered} d=2r \\ d=2(12\operatorname{cm}) \\ d=24\operatorname{cm}\text{.} \end{gathered}$

The diameter of the circle is also the length of the outer square.

Therefore length of square (l) = diameter of circle = 24cm

Area of square

$\begin{gathered} \text{Area of square=l}^2 \\ =(24cm)^2 \\ =576cm^2 \end{gathered}$

Step 3: Find the area of the circle

$\begin{gathered} \text{Area of circle = }\pi r^2 \\ \text{Where }\pi=3.14 \\ r=\text{radius}=\text{ 12cm} \\ Area\text{ = 3.14 (12cm)}^2 \\ =3.14*144\operatorname{cm} \\ =452.16cm^2 \end{gathered}$

Step 4: Find the area of the shaded figure.

The area of the shaded figure =

Area of the square - area of the circle

The area of the shaded figure =

$\begin{gathered} 576cm^2-452.16cm^2 \\ =123.84cm^2 \end{gathered}$

Conclusion: The area of the shaded figure is

Find the area of the shaded figure. *Enter your answer as a decimal. Use 3.14 for-example-1

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