Formulas de Área y Volumen

• These are study notes about area and volume calculations for different geometric shapes

Áreas

• Area formulas for common two-dimensional shapes
• The area of a square is calculated as A = l², where l is the length of a side
• The area of a rectangle is A = b·h, where b is the base and h is the height
• For a rhombus, the area is calculated using diagonals: A = (D·d)/2, where D and d are the lengths of the diagonals
• The area of a rhomboid is A = b·h, where b is the base and h is the height
• The area of a triangle is A = (b·h)/2, where b is the base and h is the height
• The area of a trapezoid is A = ((B+b)·h)/2, where B is the longer base, b is the shorter base, and h is the height
• The circumference of a circle is P = 2·π·r, where r is the radius
• The area of a circle is A = π·r², where r is the radius
• The area of a circular arc is A = (Â/360°) · π · r², where  is the angle of the arc in degrees and r is the radius
• The area of a circular sector A is A = (Â/360°) · π · r², where  is the angle in degrees
• The area of a circular ring (corona circular) is A = π · (R² - r²), where R is the outer radius and r is the inner radius
• The area of a regular polygon is A = (P·a)/2, where P is the perimeter (sum of all sides) and a is the apothem

Volúmenes

• Formulas for calculating volumes of three-dimensional shapes
• The volume of a sphere is V = (4/3) · π · r³, where r is the radius
• The volume of a cone is V = (1/3)·π·r²h, where r is the radius of the base and h is the height
• The volume of a cube is V = l³, where l is the length of a side
• The volume of a pyramid is V = (Abase · h) / 3, where Abase is the area of the base and h is the height; the shape of the base can vary
• The volume of a prism is V = Abase · h, where Abase is the area of the base and h is the height; the shape of the base can vary
• The volume of a cone is V = π·r²·h, where r is the radius and h is the height

Repaso de fórmulas para calcular áreas de figuras geométricas bidimensionales, incluyendo cuadrados, rectángulos y círculos. También incluye el cálculo de volúmenes de figuras tridimensionales. Notas de estudio esenciales para geometría.