Sphere Surface Area Calculator Sphere Calculator Surface Area & Volume for Spheres, Hemispheres & Domes. Full Sphere Hemisphere Dome (Cap) Include Base Area? (Closed Shape) Total Surface Area — sq in Curved Area — Volume — cu in Work Shown The sphere is nature’s masterpiece of efficiency. It is the only shape that encloses the…
A Torus is the mathematical name for the shape of a donut, a bagel, or an inner tube. It is a 3D surface generated by revolving a circle (the “tube”) around an axis coplanar with the circle. While “Donut” is the tasty common name, knowing the geometry of a Torus is crucial for everything…
When two circles intersect, they form a lens-shaped region in the middle. This region is mathematically known as a Vesica Piscis (when circles are equal) or an asymmetric lens (when radii differ). Calculating this area is a complex challenge in geometry because it requires finding the intersection points and summing the areas of two…
Calculator Wrapper The Vector Parallelogram Area Calculator demonstrates one of the most fundamental properties of vector mathematics: the magnitude of the cross product of two vectors exactly equals the area of the parallelogram they span. Unlike the triangle calculator, which divides the result by 2, this tool gives you the full area magnitude, making…
Beam Cross-Section Calculator The Beam Cross-Sectional Area Calculator is an all-in-one solution for steel profile analysis. Instead of switching between different tools for every shape, this calculator unifies the math for the six most common structural sections: I-Beam, C-Channel, T-Beam, L-Angle, Hollow Box, and Pipe. It automates the geometry for calculating the cross-sectional area…
Beam Cross-Section Calculator The Wire Cross-Section Area Calculator is the electrician’s translator. It converts standard American Wire Gauge (AWG) sizes into physical cross-sectional areas ($mm^2$ and $kcmil$). Whether you are sizing cable for a high-current service entrance or detailing small electronics, this tool ensures you know the exact amount of copper conductor available for…
Pipe Cross-Section Calculator The Pipe Cross-Section Area Calculator goes beyond simple geometry. It is a dual-purpose engineering tool that calculates both the Flow Capacity (for plumbers) and the Structural Weight (for fabricators). It includes a built-in materials library, allowing you to instantly switch between Steel, PVC, Copper, and Aluminum to see how material density…
Duct Cross-Section Area Calculator The Duct Cross-Section Area Calculator is an essential utility for mechanical engineers and HVAC technicians. It converts dimensions from Rectangular, Round, or Flat Oval ducts into usable airflow data, specifically calculating the Free Area, Hydraulic Diameter, and Equivalent Round Diameter. Correct duct sizing is the single most important factor in…
Calculator Wrapper The Vector Parallelogram Area Calculator demonstrates one of the most fundamental properties of vector mathematics: the magnitude of the cross product of two vectors exactly equals the area of the parallelogram they span. Unlike the triangle calculator, which divides the result by 2, this tool gives you the full area magnitude, making…
A circular segment is a region of a circle which is “cut off” from the rest of the circle by a secant or a chord. It is the area bounded by the arc and the chord connecting the arc’s endpoints. Visually, think of it as the “crust” area if you slice a round pizza…