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

To calculate the shaded area, square the diameter or length, then subtract the result of pi times the length over 2 squared.

## 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 = ?