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Enter the diameter or length of a square or circle and select the output unit to calculate the shaded region area using this calculator.
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Use our advanced shaded area calculator to quickly find the area of a square that remains after a circle is placed inside it. The calculator provides precise, step-by-step results in your preferred unit.
To calculate the shaded area of a square with an inscribed circle, follow these steps:
You can calculate the shaded area manually using the following formula:
\(Shaded\ Area = L^2 - \pi \times \left(\dfrac{L}{2}\right)^2\)
Where:
L = Length of the square or diameter of the circle
Suppose the square has a side length of 40 cm. The shaded area can be calculated as follows:
\(Shaded\ Area = L^2 - \pi \times \left(\dfrac{L}{2}\right)^2\)
\(Shaded\ Area = 40^2 - 3.14 \times 20^2\)
\(Shaded\ Area = 1600 - 3.14 \times 400\)
\(Shaded\ Area = 1600 - 1256\)
\(Shaded\ Area \approx 344\ cm^2\)
This value represents the portion of the square not occupied by the circle.
Follow these steps to use the calculator efficiently:
Inputs:
Outputs:
Sources: Wikipedia — Area, Units, and Formulas
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