Question

ASK FORMULA OF MENSURATION

Answer 1

I think u have understood

Answer 2

Some important mensuration formulas are:

1. Area of rectangle (A) = length(l) × Breath(b)

A = l \times b



2. Perimeter of a rectangle (P) = 2 × (Length(l) + Breath(b))

P = 2 \times(l + b)



3. Area of a square (A) = Length (l) × Length (l)

A = l \times l



4. Perimeter of a square (P) = 4 × Length (l)

P = 4 \times l



5. Area of a parallelogram(A) = Length(l) × Height(h)

A = l \times h

Parallelogram



6. Perimeter of a parallelogram (P) = 2 × (length(l) + Breadth(b))

P = 2 \times (l + b)



7. Area of a triangle (A) = (Base(b) × Height(b)) / 2

A = \frac{1}{2} \times b \times h

Triangle

And for a triangle with sides measuring “a” , “b” and “c” , Perimeter = a+b+c

and s = semi perimeter = perimeter / 2 = (a+b+c)/2

And also: Area of triangle = A = \sqrt{s(s-a)(s-b)(s-c)}

This formulas is also knows as “Heron’s formula”.



8. Area of triangle(A) = \frac{1}{2} a \times b \times \angle C = \frac{1}{2} b \times c \times \angle A = \frac{1}{2} a \times c \times \angle B

Where A, B and C are the vertex and angle A , B , C are respective angles of triangles and a , b , c are the respective opposite sides of the angles as shown in figure below:

area of triangle - mensuration
area of triangle - mensuration



9. Area of isosceles triangle = \frac{b}{4}\sqrt{4a^2 - b^2}

Where a = length of two equal side , b= length of base of isosceles triangle.



10. Area of trapezium (A) = \frac{1}{2} (a+b) \times h

Where “a” and “b” are the length of parallel sides and “h” is the perpendicular distance between “a” and “b” .

Trapezium



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 × l

where l = length of a side



14. Area of quadrilateral (A) = 1/2 × Diagonal × (Sum of offsets)

quadrilateral



15. Area of a Kite (A) = 1/2 × product of it’s diagonals



16. Perimeter of a Kite (A) = 2 × Sum on non-adjacent sides



17. Area of a Circle (A) = \pi r^2 = \frac{\pi d^2}{4}

Where r = radius of the circle and d = diameter of the circle.



18. Circumference of a Circle = 2 \pi r = \pi d

r= radius of circle

d= diameter of circle



19. Total surface area of cuboid = 2 (lb + bh + lh)

where l= length , b=breadth , h=height



20. Total surface area of cuboid = 6 l^2

where l= length



21. length of diagonal of cuboid = \sqrt{l^2+b^2+h^2}



22. length of diagonal of cube = \sqrt{3 l}



23. Volume of cuboid = l × b × h



24. Volume of cube = l × l × l


25. Curved surface area of a cylinder = 2 \pi r h

Where r = radius of base, h = height of cylinder



26. Total surface area of a cylinder = 2 \pi r(r + h)



27. Volume of a cylinder = \pi r^2 h



28. Surface area of sphere = 4 \pi r^2 = \pi d^2

where r= radius of sphere, d= diameter of sphere