List of All Geometry Formulas PDF

PDF Name	List of All Geometry Formulas
No. of Pages	5
PDF Size	0.07 MB
Language	English
PDF Category	Education & Jobs
Source / Credits	Multiple Sources
Uploaded By	Pradeep

List of All Geometry Formulas - Summary

Are you looking for an easy-to-understand list of all geometry formulas? Geometry formulas are essential for calculating dimensions, perimeter, area, surface area, and volume of various geometric shapes. Geometry is an exciting branch of mathematics that explores the relationships between points, lines, angles, surfaces, and solids, along with their measurements. Generally, there are two main types of geometry: 2D (two-dimensional) or plane geometry, and 3D (three-dimensional) or solid geometry.

Understanding 2D and 3D Geometry

Geometry formulas used to find dimensions, perimeter, area, surface area, and volume for both 2D and 3D geometric shapes are collectively called geometry formulas. In 2D geometry, we deal with flat shapes such as squares, circles, and triangles. On the other hand, 3D geometry includes shapes like cubes, cuboids, spheres, cylinders, and cones, which occupy space.

Importance of Geometry Formulas

Mastering geometry formulas is important for students and anyone interested in mathematics. With these formulas, you can easily solve problems related to shapes in real life, such as calculating the area of a garden or the volume of a water tank. This makes learning geometry fun and practical!

List of All Geometry Formulas

SHAPES	FORMULAS
1. Right Triangle	Pythagoras Theorem: a² + b² = c² Area = ½ ab Perimeter = a + b + √(a² + b²) Where, c = hypotenuse of a triangle a = altitude of a triangle b = base of a triangle
2. Triangle	Perimeter, P = a + b + c Area, A = ½ bh Height, h = 2(A/b) Where, a,b,c are the sides of a triangle.
3. Rectangle	Perimeter = 2(l + w) Area = lw Diagonal, d = √(l² + w²) Where, l = length of a rectangle w = width of a rectangle
4.Parallelogram	Perimeter, P = 2(a + b) Area, A = bh Height, h = A/b Base, b = A/h Where, a and b are the sides of a parallelogram h = height of a parallelogram
5. Trapezium	Area, A = ½(a + b)h Height, h = 2A/(a + b) Base, b = 2(A/h) – a Where, a and b are the parallel sides h = distance between two parallel sides
6. Circle	Circumference = 2πr Area = πr² Diameter = 2r Where, r = radius of a circle
7. Square	Perimeter, P = 4a Area, A = a² Diagonal, d = a√2 Side, a = √A = d/2√2 Where, a = side of a square
8. Arc	Arc Length, L = rθ Area, A = ½r²θ Here, θ is the central angle is radians. Where, r = radius
9. Cube	Area, A = 6a² Volume, V = a³ Edge, a = V^⅓ Space diagonal = a√3 Where, a = side of a cube
10. Cuboid	Surface Area, A = 2(lb + bh + hl) Volume, V = lbh Space diagonal, d = √( l² + b² +h²) Where, l= length b= breath h= height
11. Cylinder	Total Surface Area, A = 2πrh + 2πr² Curved Surface Area, A_c = 2πrh Volume, V = πr²h Base Area, A_b = πr² Radius, r = √(V/πh) Where, r= radius of a cylinder h= height of a cylinder
12. Cone	Total Surface Area, A = πr(r+l) = πr[r+√(h²+r²)] Curved Surface Area, A_c = πrl Volume, V = ⅓πr²h Slant Height, l = √(h²+r²) Base Area, A_b = πr² Where, r= radius of a cone h= height of a cone l = slant height
13. Sphere	Surface Area, A = 4πr² Volume, V = ⁴⁄₃πr³ Diameter = 2r Where, r= radius of a sphere

For your convenience, we have created a comprehensive PDF containing all these geometry formulas. You can download this PDF to help you study and revise effectively. Explore the world of geometry with the help of our easy-to-follow geometry formulas!

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