Enter the Diameter or length of a circle or square to calculate the shaded area in desired units.
Shaded Area Calculator
The Shaded Area Calculator is like a magic wand in the world of shapes, helping us figure out the space covered by a square and a circle combined. It is very important for the researchers as well as the professionals.
Formula:
The formula is:
$\text{SA} = L^2  \pi \times \left(\frac{L}{2}\right)^2$
Variables
Variable  Meaning 

SA  Shaded Area (the area that is shaded or not covered by the circle) 
L  Side length of the square 
$\pi$  Pi (approximately 3.14159) 
How to Calculate?
First of all, determine the side length (L) of the square. Now, calculate the area of the square by squaring the side length ($L^2$). After that, you have to calculate the radius of the circle, which is half of the side length ($\frac{L}{2}$). Then, square this radius and multiply by $\pi$ to find the area of the circle. And finally, subtract the area of the circle from the area of the square to find the Shaded Area (SA).
How to Calculate?
Example 1:
Inputs:

 Diameter/Length ($L$): 8 m
Calculation Steps:
1. Calculate the area of the square:
${L}^{2}={8}^{2}=64\text{\hspace{0.17em}}{m}^{2}$
2. Calculate the area of the circle:
$\pi {\left(\frac{L}{2}\right)}^{2}=\pi {\left(\frac{8}{2}\right)}^{2}=\pi \times {4}^{2}=\pi \times 16\approx 50.27\text{\hspace{0.17em}}{m}^{2}$
3. Find the shaded area:
$SA=6450.27\approx 13.73\text{\hspace{0.17em}}{m}^{2}$
Examples 2:
Example 2
Inputs:

 Diameter/Length ($L$): 12 m
Calculation:
1. Calculate the area of the square:
${L}^{2}=1{2}^{2}=144\text{\hspace{0.17em}}{m}^{2}$
2. Calculate the area of the circle:
$\pi {\left(\frac{L}{2}\right)}^{2}=\pi {\left(\frac{12}{2}\right)}^{2}=\pi \times {6}^{2}=\pi \times 36\approx 113.10\text{\hspace{0.17em}}{m}^{2}$
3. Find the shaded area:
$SA=144113.10\approx 30.90\text{\hspace{0.17em}}{m}^{2}$