Enter the diameter or length of a square or circle into the Shaded Area Calculator. The calculator will evaluate the Shaded Area that is contained by the square with a circle inside of it.

Shaded Area Formula

The following two example problems outline the steps and information needed to calculate the Shaded Area.

SA = L^2 – pi*(L/2)^2

  • Where SA is the Shaded Area contained by the square and the circle
  • L is the diameter or length of a square or circle 

How to Calculate Shaded Area?

The following example problems outline how to calculate Shaded Area.

Example Problem #1:

  1. First, determine the diameter or length of a square or circle. 
    • The diameter or length of a square or circle is given as: 25.
  2. Finally, calculate the Shaded Area using the equation above: 

SA = L^2 – pi*(L/2)^2

The values provided above are inserted into the equation below and computed.

SA = 25^2 – pi*(25/2)^2 = 134.12


Example Problem #2: 

For this problem, the variables required are provided below:

diameter or length of a square or circle = 30

${V2} = ${number 4}

Test your knowledge using the equation and check your answer with the calculator..

SA = L^2 – pi*(L/2)^2 = ?