Enter Diameter or Length of a Square or Circle & select output unit to get the shaded region area through this 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.
Our place of shaded location calculator considers the subsequent points to determine the effects:
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!
If the side length of a square is 53 cm, how can we calculate the shaded area?
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:
Step-by-Step Calculation:
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.
let us guide you on how you could use this shaded place calculator!
Inputs:
Outputs:
| 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) |
A instrument assists in gauging the dimension of a segment found in a bigger framework. It is useful in geometry, construction, and design applications.
The instrument subtracts the empty area from the entire painting's boundary. "By inputting the necessary dimensions, it quickly calculates the exact shaded area.
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.
This tool is often used for real-life jobs, such as measuring room size, coloring wall parts, checking areas, and sketching plans.
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.
figure out the whole area of each shape that's not overlapping, so you can find out how much space is painted.
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.
We divide the region into simple sections and tally up to determine the entire area.
The results are highly accurate, provided that the correct dimensions are entered. It eliminates the need for manual calculations, reducing errors and saving time.
