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Geometry Formulas Basics: Plane & Solid Figures

Geometry homework usually asks for one number—area, perimeter, volume, or surface area—from a labeled diagram. This guide groups the standard formulas so you pick the right tool.

Plane figures

Rectangles, triangles, circles, trapezoids, and ellipses each have a dedicated area formula. Perimeter sums boundary lengths; circles use circumference 2πr.

Solid figures

Boxes, cylinders, spheres, cones, and pyramids extend the same idea to volume and surface area. Keep units consistent—square vs cubic.

Try a multi-shape area tool

Pick a figure and enter labeled dimensions:

Open Area Calculator

Solid volume

Boxes, cylinders, spheres, and more:

Open Volume Calculator