The formula to calculate the shaded area is:
\[ \text{SA} = L^2 - \pi \left(\frac{L}{2}\right)^2 \]
Where:
The shaded area refers to the area contained within a square but outside of an inscribed circle. This calculation is useful in various geometric problems and applications, helping to determine the area difference between these two shapes.
Let's assume the following value:
Using the formula:
\[ \text{SA} = 10^2 - \pi \left(\frac{10}{2}\right)^2 = 100 - 78.54 = 21.46 \]
The Shaded Area is 21.46 square units.
Let's assume the following value:
Using the formula:
\[ \text{SA} = 15^2 - \pi \left(\frac{15}{2}\right)^2 = 225 - 176.71 = 48.29 \]
The Shaded Area is 48.29 square units.