Geometric Figures and Their Formulas: Part 2
This page continues with more advanced geometric figures, providing formulas for perimeters, areas, and volumes. It covers both 2D and 3D shapes, offering a comprehensive overview of geometric calculations.
For 2D shapes, the page includes:
- Regular Polygon: P = n × c (where n is the number of sides and c is the side length)
- Parallelogram: P = a × 2 + B × 2
- Circle: P = 2 × π × r
Highlight: The formule périmètre cercle is particularly important as it introduces π (pi) in geometric calculations.
For 3D figures, the page provides volume formulas:
- Cube: V = c³
- Sphere: V = (4 ÷ 3) × π × r³
- Cone: V = (1 ÷ 3) × π × r² × h
- Rectangular Prism: V = h × L × l
Vocabulary: Volume (V) is the amount of three-dimensional space occupied by a solid object.
The page also includes area formulas for more complex shapes:
- Regular Polygon: A = (n × c² × a) ÷ (4 × tan(180° ÷ n))
- Parallelogram: A = B × h
- Circle: A = π × r²
Example: For a sphere with radius 3 cm, the volume would be V = (4 ÷ 3) × π × 3³ ≈ 113.1 cm³.
Lastly, the page covers volume formulas for additional 3D shapes:
- Prism: V = Ab × h (where Ab is the area of the base)
- Pyramid: V = Ab × h × (1 ÷ 3)
- Cylinder: V = Ab × h
This comprehensive overview makes the document an excellent resource for toute les formules de volumes, formules aires et volumes pdf, and tableau des aires et volumes. It provides students with a complete set of formulas for calculating perimeters, areas, and volumes of various geometric figures.