Math Calculator
Professional mathematical conversions and calculations. Convert fractions, decimals, number systems, and perform geometric calculations with step-by-step solutions.
Calculates the area of common shapes: circle (πr²), rectangle (l×w), triangle (½bh), trapezoid, ellipse, and more.
A circle has the largest area of any shape with a given perimeter — this is the "isoperimetric inequality." Ancient Greeks knew this, and it is why bubbles are spherical: they maximise volume for a given surface area.
Using diameter instead of radius in πr² — if the diameter is 10, r = 5 and A = π×25 ≈ 78.54, not π×100 ≈ 314.