by purnima » Sat Jul 25, 2015 8:32 pm
Mensuration is the branch of mathematics which deals with the study of geometric shapes, their area, volume and different parameters in geometric objects.
Important Mensuration Formulae
1. Area of rectangle (A) = length(l) * Breath(b) = l x b
2. Perimeter of a rectangle (P) = 2 * (Length(l) + Breath(b)) = 2(l + b)
3. Area of a square (A) = Length (l) * Length (l) = l x l
4. Perimeter of a square (P) = 4 * Length (l) = 4 x l
5. Area of a parallelogram(A) = Length(l) * Height(h) = l x h
6. Perimeter of a parallelogram (P) = 2 * (length(l) + Breadth(b)) = 2(l + b)
7. Area of a triangle (A) = (Base(b) * Height(b)) / 2 = ½ x b x h
Perimeter = (a + b + c)
Area of triangle = A = √{s(s-a)(s-b)(s-c)} [Hero’s formula]
8. Area of triangle (A) = ½ab∠C = ½bc∠A = ½ac∠B
9. Area of isosceles triangle = (b/4) * √(4a2-b2)
10. Area of trapezium (A) = ½(a+b)h
11. Perimeter of a trapezium (P) = sum of all sides
12. Area of rhombus (A) = Product of diagonals / 2
13. Perimeter of a rhombus (P) = 4 * length
14. Area of quadrilateral (A) = ½ * Diagonal * (Sum of offsets)
15. Area of a Kite (A) = ½ * product of it’s diagonals
16. Perimeter of a Kite (A) = 2 * Sum on non-adjacent sides
17. Area of a Circle (A) = πr2 = πd2/4
18. Circumference of a Circle = 2πr = πd
19. Total surface area of cuboid = 2(lb + bh + lh)
20. Total surface area of cuboid = 6 * l2
21. length of diagonal of cuboid = √(l2+b2+h2)
22. length of diagonal of cube = √(3l)
23. Volume of cuboid = l * b * h
24. Volume of cube = l * l * l
25. Area of base of a cone = πr2
26. Curved surface area of a cone = C = πrl
27. Total surface area of a cone = πr(r+l)
28. Volume of right circular cone = (1/3) * πr2h
29. Surface area of triangular prism = (P * height) + (2 * area of triangle)
30. Surface area of polygonal prism = (Perimeter of base * height ) + (Polygonal base area * 2)
31. Lateral surface area of prism = Perimeter of base * height
32. Volume of Triangular prism = Area of the triangular base * height
33. Curved surface area of a cylinder = 2πrh
34. Total surface area of a cylinder = 2πr(r+h)
35. Volume of a cylinder = πr2h
36. Surface area of sphere = 4πr2= πd2
37. Volume of a sphere = (4/3) * πr3 = 1/6 * πd3
38. Volume of hollow cylinder = πrh(R2-r2)
39. Surface area of a right square pyramid = a √(4b2 - a2)
40. Volume of a right square pyramid = (1/3) * b2h
41. Area of a regular hexagon = 3√3a2)/2
42. area of equilateral triangle = (√3/4) * a2
43. Curved surface area of a Frustums = πh(r1 + r2)
44. Total surface area of a Frustums = π (r12 + h(r1+r2) + r22)
45. Curved surface area of a Hemisphere = 2πr2
46. Total surface area of a Hemisphere = 3πr2
47. Volume of a Hemisphere = (2/3) * πr3 = (1/12) * πd3
48. Area of sector of a circle = (θr2π)/360