Geometric Formulas for Area and Perimeter

This page presents a comprehensive overview of formulas for calculating the area and perimeter of various geometric shapes. These formulas are essential for students studying mathematics, particularly those in 4ème, 3ème, and 5ème grades, and are frequently used in exercices PDF and practice problems.

The document begins with the formulas for a square. For a square, the area is calculated using the formula c x c, where c represents the length of one side. The perimeter of a square is determined by multiplying the length of one side by 4 (c x 4).

Next, the formulas for a parallelogram are provided. The area of a parallelogram is calculated by multiplying the base (b) by the height (h). The perimeter of a parallelogram is found by adding the lengths of all four sides, which can be simplified to (L + l) x 2, where L is the length and l is the width.

For a trapezoid, the area formula is given as (B + b) x h, where B is the length of the longer parallel side, b is the length of the shorter parallel side, and h is the height of the trapezoid.

The rectangle formulas are also included. The area of a rectangle is calculated by multiplying the length (L) by the width (l). The perimeter of a rectangle is found by adding all four sides, which can be simplified to (L + l) x 2.

Triangle formulas are presented next. The area of a triangle is calculated using the formula (b x h) ÷ 2, where b is the base and h is the height. The perimeter of a triangle is the sum of the lengths of all three sides.

Lastly, the formulas for a circle are provided. The area of a circle is calculated using the formula π x r², where r is the radius of the circle. The circumference (perimeter) of a circle is determined by the formula π x 2 x r.

Vocabulary: π (pi) is a mathematical constant approximately equal to 3.14159, used in calculations involving circles.

Example: To calculate the area of a square with sides of length 5 cm, you would use the formula c x c: 5 cm x 5 cm = 25 cm².

Definition: Perimeter is the distance around the outside of a shape, while area is the amount of space inside a shape.

Highlight: These formulas are essential for solving geometry problems and are frequently used in exercices PDF and practice worksheets for students studying aire et périmètre.

This formulaire de périmètres, aires et volumes PDF serves as a quick reference guide for students working on geometry problems, providing a concise summary of the most commonly used formulas for calculating areas and perimeters of basic geometric shapes.