List of All Geometry Formulas
Geometry is a branch of mathematics that deals with the properties, measurement, and relationships of points, lines, angles, surfaces, and solids
A list of Geometry formulas is used for finding the 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.
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 |
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