Area and Perimeter Formulas Math Infographic: Remember formulas in 60 secs

1. Understanding Area:

Area represents the amount of space enclosed by a 2D shape. Different shapes have different formulas for calculating their area. Let’s explore some of the most common shapes:

1.1 Square:

• Formula: Area = side × side (A = s²)
• Example: If a square has a side length of 5 units, its area would be 5 × 5 = 25 square units.

1.2 Rectangle:

• Formula: Area = length × width (A = l × w)
• Example: For a rectangle with a length of 6 units and a width of 4 units, the area would be 6 × 4 = 24 square units.

1.3 Triangle:

• Formula: Area = 0.5 × base × height (A = 0.5 × b × h)
• Example: If a triangle has a base of 8 units and a height of 6 units, its area would be 0.5 × 8 × 6 = 24 square units.

1.4 Circle:

• Formula: Area = π × radius² (A = πr²)
• Example: Given a circle with a radius of 3 units, the area would be π × 3² = 9π square units (approximately 28.27 square units).

2. Exploring Perimeter:

Perimeter refers to the total distance around the boundary of a 2D shape. The formulas for perimeter vary depending on the shape. Let’s examine some common shapes:

2.1 Square:

• Formula: Perimeter = 4 × side (P = 4s)
• Example: If a square has a side length of 5 units, its perimeter would be 4 × 5 = 20 units.

2.2 Rectangle:

• Formula: Perimeter = 2 × (length + width) (P = 2l + 2w)
• Example: For a rectangle with a length of 6 units and a width of 4 units, the perimeter would be 2 × (6 + 4) = 20 units.

2.3 Triangle:

• Formula: Perimeter = side₁ + side₂ + side₃
• Example: If the sides of a triangle measure 3 units, 4 units, and 5 units respectively, the perimeter would be 3 + 4 + 5 = 12 units.

2.4 Circle:

• Formula: Perimeter = 2 × π × radius (P = 2πr)
• Example: Given a circle with a radius of 3 units, the perimeter would be 2 × π × 3 ≈ 18.85 units.