# Area and Perimeter: The Ultimate Cheatsheet

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Knowing how to calculate the area and perimeter of various shapes is an essential skill for anyone studying math. Whether you’re a student trying to ace your math exams or a professional looking to refresh your knowledge, this cheat sheet has got you covered.

# Formulas for Area

# Rectangle

The area of a rectangle can be calculated by multiplying its length and width. The formula for the area of a rectangle is:

`A = length * breadth`

where A is the area, l is the length, and w is the width. Rectangles are four-sided figures with opposite sides parallel, and all angles are right angles. They are widely used in various fields, including architecture, engineering, and design.

# Square

A square is a special type of rectangle, where all sides are equal in length. The area of a square is simply the length of one side squared. The formula for the area of a square is:

`A = side^2`

where A is the area and s is the length of one side. Squares are commonly used in geometry, as well as in various games and puzzles.

# Triangle

A triangle is a three-sided figure, and its area can be calculated using the following formula:

`A = 1/2 * base * height`

where A is the area, b is the base of the triangle, and h is the height of the triangle. Triangles are used in various fields, including architecture, engineering, and physics. The Pythagorean theorem is a well-known formula used to calculate the sides of a right triangle.

# Circle

A circle is a two-dimensional figure with no corners or edges. The area of a circle can be calculated using the following formula:

`A = πr^2`

where A is the area and r is the radius of the circle. π is a mathematical constant that represents the ratio of a circle’s circumference to its diameter, which is approximately equal to 3.14159. Circles have many practical applications, including in architecture, engineering, and physics.

# Formulas for Perimeter

# Rectangle

The perimeter of a rectangle is the sum of all its sides. The formula for the perimeter of a rectangle is:

`P = 2(length + breadth)`

where P is the perimeter, l is the length, and w is the width. The perimeter is the total distance around the edges of a two-dimensional figure. Rectangles have many practical applications, including in architecture, engineering, and design.

# Square

A square is a special type of rectangle, where all sides are equal in length. The perimeter of a square is simply four times the length of one side. The formula for the perimeter of a square is:

`P = 4 x side`

where P is the perimeter and s is the length of one side. Squares are commonly used in geometry, as well as in various games and puzzles.

# Triangle

The perimeter of a triangle is the sum of all its sides. The formula for the perimeter of a triangle is:

`P = a + b + c`

where P is the perimeter and a, b, and c are the lengths of the three sides. Triangles are used in various fields, including architecture, engineering, and physics.

# Circle

The perimeter of a circle is also known as its circumference. The formula for the circumference of a circle is:

`C = 2πr`

where C is the circumference and r is the radius of the circle. Circles have many practical applications, including in architecture, engineering, and physics.

We hope this cheat sheet has been helpful in refreshing your memory on how to calculate the area and perimeter of common shapes. Remember to practice these formulas regularly to improve your math skills. Whether you’re a student, professional, or just an enthusiast, understanding the basics of area and perimeter can help you solve various problems in real-life situations.

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