List of All Geometry Formulas
Geometry formulas are used for finding dimensions, perimeter, area, surface area, volume, etc. of the geometric shapes. Geometry is a part of mathematics that deals with the relationships of points, lines, angles, surfaces, solids measurement, and properties. There are two types of geometry: 2D or plane geometry and 3D or solid geometry.
Geometry formulas used for finding dimensions, perimeter, area, surface area, volume, etc. of 2D and 3D geometric shapes are known as geometry formulas. 2D shapes consist of flat shapes like squares, circles, and triangles, etc., and cube, cuboid, sphere, cylinder, cone, etc are some examples of 3D shapes.
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 = V⅓ 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, Ac = 2πrh Volume, V = πr2h Base Area, Ab = 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, Ac = πrl Volume, V = ⅓πr2h Slant Height, l = √(h2+r2) Base Area, Ab = 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 |
You can download the List of All Geometry Formulas PDF using the link given below.
