Shaded Area Calculator

Calculate Shaded Area

Formula

The formula to calculate the shaded area is:

\[ \text{SA} = L^2 - \pi \left(\frac{L}{2}\right)^2 \]

Where:

What is Shaded Area?

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.

Example Calculation 1

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.

Example Calculation 2

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.