In triangle geometry, most problems are easy to solve when you know three sides or two sides with the included angle. However, things become more complicated when you only know two sides and a non-included angle. This situation is called the SSA (Side-Side-Angle) case. The SSA case is special because it can produce no…
In physics and engineering, many quantities such as force, velocity, and displacement are represented using vectors. A vector has both a magnitude (size) and a direction. When two or more vectors act together, we need to combine them to find the resultant vector. One of the easiest ways to add two vectors is by…
Trigonometry is the branch of mathematics that studies the relationship between the angles and sides of triangles. It is especially useful for working with right-angled triangles, where one angle is exactly 90 degrees. Many students, engineers, and professionals need to find missing sides or angles in right triangles. Doing these calculations by hand can…
When an object moves through air or water, its motion is affected by external forces like wind or water current. For example, an airplane flying in the sky or a boat moving in a river will not travel in a straight line based only on its own speed. The surrounding medium changes both the…
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 Spheres are perfectly round 3D shapes that we see everywhere in daily life. Balls,…
Total Flow Area (TFA) Calculator TFA Calculator Total Flow Area & Drilling Hydraulics. Nozzle Sizes (1/32″) + Add – Remove Flow Rate (GPM) Mud Weight (PPG) Bit Size (in) Total Flow Area (TFA) — square inches (in²) Jet Velocity — ft/sec HSI — HP/in² Pressure Drop — psi Impact Force — lbf The TFA –…
Window Area & Decor Calculator Window Area Calculator Construction Requirements & Decor Planning Construction & Vent Curtains & Blinds Window Shape RectangleArch (Round Top)Circle Width (cm) Height (cm) Frame (cm) Openable % Room Floor Area (Optional) Checks 8% Light / 5% Vent rules (IBC/BCA). Curtains Blinds Window Width (cm) Rod Overhang (cm) Fullness 1.5x (Std)2.0x…
Triangle Coord Calc Unified 2D & 3D Calculator 2D (X, Y) 3D (X, Y, Z) A X Y Z B X Y Z C X Y Z Tip: In 2D mode, the calculator simply sets Z=0 behind the scenes. Load 3D Demo Visual Vector Calculation (Cross Product) Triangle Area 50.00 Perimeter 34.14 Triangles are one…
Semi Circle Calc Semi-Circle Area, Perimeter & Centroid Solve By Radius (r)Diameter (d)Area (A)Arc Length (Curve)Total Perimeter Radius (r) units Tip: Drag the orange handle to resize. Arc Length Diameter (Base) Area — A = π·r² / 2 Arc Length — Curve = π·r Total Perimeter — Arc + 2r Centroid (Y from base) —…
Sector Area Calc Calculate Area, Arc Length & Perimeter Solve By Radius + Angle Radius + Arc Area + Radius Tip: Drag the orange dot on the chart to adjust the angle interactively. Sector Arc L Radius Sector Area — — Arc Length — Perimeter — Centroid Distance — From Center A circle is a…