What 2D and 3D shapes does this calculator support?

This calculator handles rectangles, parallelograms, trapezoids, regular polygons, spheres, cylinders, cones, and rectangular prisms. It computes area, perimeter, volume, and surface area as applicable.

How do you calculate the volume of a sphere?

The volume of a sphere is V = (4/3)πr³, where r is the radius. The surface area is 4πr². This calculator shows every step of the computation.

What is the difference between surface area and volume?

Surface area measures the total area of the outer surface of a 3D shape (in square units), while volume measures the space enclosed inside the shape (in cubic units).

Area & Volume Calculator

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About Area & Volume Calculator

Calculate area and perimeter of 2D shapes (rectangle, parallelogram, trapezoid) plus volume and surface area of 3D shapes (cube, rectangular prism, sphere, cylinder, cone) — all step by step. Each solution shows the formula, substitution, and final answer with units.

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FAQ

Is this geometry calculator free?

Yes! The Geometry & Trig Calculator provides free step-by-step solutions for triangles, circles, angles, trig functions, and shape measurements. No account required.

What types of geometry problems can it solve?

It covers angle operations (addition, conversion, complements), circle calculations (area, circumference, arc length), triangle solving (law of sines/cosines, Pythagorean theorem), trigonometric functions, coordinate geometry (distance, midpoint, slope), and 2D/3D shape measurements.

How does the calculator work?

It uses precise mathematical formulas and Python's math library to compute exact results. Unlike AI chatbots, every answer is deterministic and mathematically guaranteed to be correct.

Does it show formulas and step-by-step work?

Yes! Every solution includes the formulas used, substituted values, and a clear breakdown of each calculation step so you can follow along and learn.

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