Geometry Calculator

Understanding Basic Geometric Shapes

Geometry is a branch of mathematics that deals with shapes, sizes, and the properties of space. From the ancient Greeks to modern engineers, geometry has played a critical role in understanding and constructing the world around us. Below are a few fundamental shapes and their properties:

1. Square

A square is a quadrilateral with four equal sides and four right angles. The area of a square is calculated by squaring the side length (Area = side × side). The perimeter is found by multiplying the side length by four (Perimeter = 4 × side).

2. Rectangle

A rectangle is a quadrilateral with opposite sides that are equal in length and four right angles. The area of a rectangle is calculated by multiplying the length by the width (Area = length × width). The perimeter is calculated by adding the lengths of all four sides (Perimeter = 2 × (length + width)).

3. Circle

A circle is a shape with all points at the same distance from the center. The area of a circle is calculated using the formula π × radius² (Area = π × r²). The circumference is the distance around the circle and is found by the formula 2 × π × radius (Circumference = 2 × π × r).

These simple formulas are the building blocks of geometry. Mastering these concepts helps in solving more complex geometric problems and applications in fields like architecture, engineering, and physics.