Area of Shaded Region Calculator

Area of Shaded Region Calculator

Enter the diameter or length of a square or circle and select the output unit to calculate the shaded region area using this calculator.

Diameter or Length of a Square or Circle:

m ▾

Select Unit:

This advanced area of shaded region calculator helps you find the shaded area of a square having a circle inside it. Get accurate steps involved in the calculations. Choose your area unit and get your results in that unit with a couple of taps.

How To Calculate Shaded Area?

Our area of shaded region calculator considers the following points to determine the results:

First of all, calculate the length of the square. It can be considered as the measurement of the circle's diameter, too
After that, put the value in the formula given as under:

Shaded Area Formula:

If you want to calculate the shaded area by hand, you need to subject it to the following equation:

Shaded Area = L² - π × ( L 2 )²

Where:

L = Diameter or length of circle or square

The area of a shaded region is often found by calculating the areas of individual shapes and then adding or subtracting them as needed. For common geometric shapes, you can use our Area Calculator, and for shaded regions involving sectors, try our Area of a Sector Calculator.

Let us resolve an example to make your concept clearer regarding shaded area calculations!

Example Calculation:

Suppose the square has a side length of 40 cm. The shaded area can be calculated as follows:

Solution:

Shaded Area = L² - π × ( L 2 )²

Shaded Area = 40² - 3.14 × 20²

Shaded Area = 1600 - 3.14 × 400

Shaded Area = 1600 - 1256

Shaded Area ≈ 344 cm²

To verify the result from the example above, try the Area of Shaded Region Calculator.

How Does the Shaded Area Calculator Work?

Let us guide you on how you can use this shaded area calculator!

Inputs:

Enter the diameter or length of a square or circle, & select its unit
Meanwhile, select the result units as well from the very next field
Tap Calculate

Outputs:

Shaded area calculations in units selected

Reference:

From the source Wikipedia: Area, Units, Area bisectors, General formulas.