👉 Mathematical figures, often used to represent abstract concepts or quantities, employ various mathematical operations and principles. For instance, in algebra, figures like variables (represented by letters) are manipulated using equations involving addition, subtraction, multiplication, and division to solve for unknowns. In geometry, figures such as points, lines, and shapes are analyzed using properties like distance, angle measures, and area/volume calculations, often involving formulas like the Pythagorean theorem (a² + b² = c² for right triangles) or the formula for the area of a circle (πr²). In calculus, figures like limits and derivatives help in understanding rates of change and accumulation, using concepts like the derivative as a limit of a difference quotient. These mathematical figures provide a structured way to express and solve problems across different domains, from basic arithmetic to advanced theoretical mathematics.
