# List of All Geometry Formulas PDF Free Download

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## Description

Geometry is a branch of mathematics that deals with the properties, relationships, and measurements of shapes and figures. Whether you’re a student studying for an exam or a professional working with geometric concepts, having a comprehensive list of geometry formulas can be incredibly helpful. This article aims to provide a handy reference guide encompassing various fundamental formulas used in geometry.

**Basic Formulas:**

**Perimeter:**The sum of all sides of a polygon or a closed figure.**Area:**The measure of the region inside a shape or figure.**Volume:**The measure of space occupied by a three-dimensional object.

**Circle Formulas:**

**Radius (r):**The distance from the center of a circle to any point on its boundary.**Diameter (d):**The distance across a circle, passing through its center (d = 2r).**Circumference (C):**The distance around the outer edge of a circle (C = πd or C = 2πr).**Area (A):**The measure of the region enclosed by a circle (A = πr^2).

**Triangle Formulas:**

**Perimeter:**The sum of the lengths of all sides.- Area: The measure of the region enclosed by a triangle (A = 0.5 * base * height).
**Pythagorean Theorem:**In a right-angled triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides (a^2 + b^2 = c^2).

**Quadrilateral Formulas:**

**Rectangle:**A four-sided figure with opposite sides equal and all angles right angles.**Perimeter:**P = 2(length + width)**Area:**A = length * width**Square:**A four-sided figure with all sides and angles equal.**Perimeter:**P = 4 * side**Area:**A = side^2

**Polygon Formulas:**

**Regular Polygon:**A polygon with all sides and angles equal.**Exterior Angle:**The angle formed by extending one of the sides of a polygon (each exterior angle of a regular polygon = 360/n, where n is the number of sides).- Equilateral Triangle: A triangle with all sides and angles equal.
**Area:**A = (sqrt(3)/4) * a^2, where a is the length of the side.**Height:**h = (sqrt(3)/2) * a, where a is the length of the side.

**Solid Shapes Formulas:**

- Cube:
**Surface Area:**SA = 6a^2, where a is the length of the side.**Volume:**V = a^3, where a is the length of the side.- Cylinder:
- Surface Area: SA = 2πrh + 2πr^2, where r is the radius and h is the height.
**Volume:**V = πr^2h, where r is the radius and h is the height.- Sphere:
**Surface Area:**SA = 4πr^2, where r is the radius.**Volume:**V = (4/3)πr^3, where r is the radius.

**PDF Name:** List of All Geometry Formulas PDF**PDF Size:** 199 KB**Category:** Education**Language:** English**Quality:** Excellent