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.

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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
Property Description Example
Outer Shape The larger shape from which the shaded region is derived. Rectangle (10m × 8m)
Inner Shape The smaller shape subtracted from the outer shape. Circle (Radius = 3m)
Outer Area The area of the larger shape. 80 m²
Inner Area The area of the smaller shape. 28.26 m²
Shaded Region Area Difference between the outer and inner areas. 51.74 m²
Formula Used Area of Shaded Region = Outer Area - Inner Area 80 - 28.26 = 51.74
Unit of Measurement The unit in which the areas are measured. Square meters (m²)
Complex Shapes Multiple inner shapes can be subtracted from the outer shape. Rectangle - (Circle + Triangle)

FAQs.

What is an Area of Shaded Region Calculator.

A instrument assists in gauging the dimension of a segment found in a bigger framework. It is useful in geometry, construction, and design applications.

How does this calculator work.

The instrument subtracts the empty area from the entire painting's boundary. "By inputting the necessary dimensions, it quickly calculates the exact shaded area.

What types of shapes can this calculator handle.

Some terms may not have precise replacements, such as 'tools' for 'devices,' 'right angles' for 'angles,' and 'figures' for 'forms. ' However, the 'Why is it important to calculate the shaded area's area. '" 'It aids in gauging the extents of shadowed spaces for assorted physical exercises and numerical tests. 'It helps in understanding occupied and unoccupied spaces.

Can this calculator be used for real-world applications.

This tool is often used for real-life jobs, such as measuring room size, coloring wall parts, checking areas, and sketching plans.

What measurements are required to use the calculator.

The required measurements depend on the shape. Common inputs include length, width, radius, height, or base. Some cases may need additional dimensions for overlapping or removed sections.

How does this calculator handle overlapping shapes.

figure out the whole area of each shape that's not overlapping, so you can find out how much space is painted.

Can it calculate shaded areas in 3D objects.

Most calculators for shaded regions deal with flat, two-dimensional (2D) shapes. Nevertheless, they also handle parts of three-dimensional (3D) objects. For 3D shaded regions, a volume calculator is typically needed.

Does the calculator support irregular shapes.

We divide the region into simple sections and tally up to determine the entire area.

How accurate are the results from this calculator.

The results are highly accurate, provided that the correct dimensions are entered. It eliminates the need for manual calculations, reducing errors and saving time.