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.
- All Area Calculators
- Reverse Area Calculator
- Effective Projected Area Calculator
- Polar Area Calculator
- Maximum Area Calculator
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:
- First, determine the diameter or length of a square or circle.
- The diameter or length of a square or circle is given as: 25.
- 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 = ?
