Shaded Area Calculator [ Area Of Shaded Region Calculator ]

Enter the Diameter or length of a circle or square to calculate the shaded area in desired units.

Shaded Area Calculator

Enter the necessary values to calculate the shaded area

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:

SA=L2π×(L2)2\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
π\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 (L2L^2). After that, you have to calculate the radius of the circle, which is half of the side length (L2\frac{L}{2}). Then, square this radius and multiply by π\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).

Shaded Area Calculators

How to Calculate?

Example 1:

Inputs:

    • Diameter/Length (L): 8 m

Calculation Steps:

1. Calculate the area of the square:

L2=82=64m2

2. Calculate the area of the circle:

π(L2)2=π(82)2=π×42=π×1650.27m2

3. Find the shaded area:

SA=6450.2713.73m2

Examples 2:

Example 2

Inputs:

    • Diameter/Length (): 12 m

Calculation:

1. Calculate the area of the square:

L2=122=144m2

2. Calculate the area of the circle:

π(L2)2=π(122)2=π×62=π×36113.10m2

3. Find the shaded area:

SA=144113.1030.90m2

What is the Shaded Area Calculator | Let’s Calculate The Area Of Shaded Region With This Area Calculator 2025:

The Shaded Area Calculator is valuable source that lets you to calculate the area of a shaded region within a geometric shape, typically when a circle is inscribed within a square. The shaded area is the part of the square that lies outside the circle.

The calculation is routinely used in geometry, design, and various practical applications where it’s important to understand the portion of an area that is not covered by a particular shape.

Final Words:

Shaded Area is equally important for for designers, architects, students and digital creators. The knowledge of  is important in these fields to make valuable and informed decisions. us come up with accurate and good-looking solutions, whether it’s on paper or in the digital world.

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