Area of Shaded Region Calculator

The maximum superior vicinity of shaded area calculator lets you get the shaded location of a rectangular having a circle inside of it. Get accurate steps concerned within the calculations. Make your preference for the location unit and get your effects in that precise unit with a couple of taps.

How to Calculate Shaded region?

Our place of shaded location calculator considers the subsequent points to determine the effects:

• First of all, calculate the length of square. it is able to be taken into consideration as the measurement of circle diameter too
• After that, put inside the price inside the system given as under:

Shaded place formulation:

iIn case you want to calculate the shaded region with the aid of hand, you want to challenge to the subsequent equation:

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

Where;

L = Diameter or period of circle or rectangular

let us resolve an example to make your concept more clean regarding shaded place calculations!

Example:

If the side length of a square is 53 cm, how can we calculate the shaded area?

Solution:

To calculate the shaded area, we use the formula for the shaded area between a square and an inscribed circle:

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

Where:

• L is the side length of the square.
• \(\pi\) is the constant approximately equal to 3.14.

Step-by-Step Calculation:

1. First, square the side length: \(L^2 = 53^2 = 2809\) cm²
2. Next, calculate the area of the inscribed circle:
   • Radius of the circle = \(\dfrac{L}{2} = \dfrac{53}{2} = 26.5\) cm
   • Area of the circle = \(\pi \times (26.5)^2 = 3.14 \times 702.25 = 2202.0785\) cm²
3. Finally, subtract the area of the circle from the area of the square: Shaded Area = 2809 - 2202.0785 = 602.9185 cm²

Result: The shaded area is approximately 602.92 cm².

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

Running of place of Shaded area Calculator:

let us guide you on how you could use this shaded place calculator!

Inputs:

• input the diameter or length of a rectangular or circle & pick its unit
• meanwhile, select the end result devices as well from the very subsequent area
• faucet Calculate

Outputs:

• Shaded place calculations in gadgets selected