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Technical Calculator

Area of Shaded Region Calculator

Enter Diameter or Length of a Square or Circle & select output unit to get the shaded region area through this calculator.

The most advanced area of shaded region calculator helps you to get the shaded area of a square having a circle inside of it. Get accurate steps involved in the calculations. Make your choice for the area unit and get your outcomes in that particular 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 square. It can be considered as the measurement of circle diameter too
  • After that, put in 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 to the following equation:

\(Shaded Area = L^{2} - \pi * \left(\dfrac{L}{2}\right)^{2}\)

Where;

L = Diameter or length of circle or square

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

Example:

If the length of the square is about 53cm, then how to calculate the shaded area?

Solution:

Using the shaded area formula:

\(Shaded Area = L^{2} - \pi * \left(\dfrac{L}{2}\right)^{2}\)

\(Shaded Area = 2809 - 3.14 * 702.25\)

\(Shaded Area = 602.818 cm^{2}\)

You can also find the area of the shaded region calculator a handy tool to verify the results calculated in the above example.

Working of Area of Shaded Region Calculator:

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:

References:

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