List of All Geometry Formulas PDF Free Download

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:

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

• Circle Formulas:

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

• Triangle Formulas:

1. Perimeter: The sum of the lengths of all sides.
2. Area: The measure of the region enclosed by a triangle (A = 0.5 * base * height).
3. 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:

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

• Polygon Formulas:

1. Regular Polygon: A polygon with all sides and angles equal.
2. 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).
3. Equilateral Triangle: A triangle with all sides and angles equal.
4. Area: A = (sqrt(3)/4) * a^2, where a is the length of the side.
5. 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.