Geometry

Find a missing side of a right triangle by identifying the hypotenuse first, then solving for a leg or the hypotenuse.

Find triangle area from a chosen base and its matching perpendicular height, with square units and no slanted-side shortcuts.

Calculate circle measurements from radius, showing how diameter and circumference grow linearly while area grows by the square.

Calculate cylinder volume as circular base area times height, while keeping cubic volume units separate from square surface units.

Calculate sphere volume and surface area from radius, with diameter-to-radius conversion, cubic-unit output, and radius growth checks.

Calculate cone volume as one third of the matching cylinder with the same circular base radius and vertical height.