Mensuration Tips and Tricks for Government Exams

Introduction

The Mensuration Methods of measuring of geometric magnitudes, lengths, areas, and volumes using mensuration in its meaning is to measure, its normally used where geometrical figures are thoughtful, and where one has to determine various physical quantities such as area, volume, length measuring these quantities is called mensuration it also used where measure quantities like peed.

Mensuration Methods

Now we will discuss some basic ideas of Mensuration Methods. On the basis of these ideas we will learn trick and tips of shortcut mensuration methods. If you think that how to solve mensuration methods questions using mensuration methods shortcut tricks, then further studies will help you to do so.

• Square
  A square which has all sides equal and all the four angles of square has equal and to 90º.
  
• Arc of a Circle
  In a circle a curved part or portion is called Arc of a circle.
• Rectangle
  A rectangle with opposite sides are equal and all the four angles are equal to 90º.
  
• Isosceles Triangle
  A triangle which has any two sides equal.
  Triangle ABC whose AB = AC.
• Equilateral Triangle
  A triangle with all sides equal and each angle has 60º which means equal.
  

Important Terms

1. Square
In a geometry, Square is a regular quadrilateral and This means that it has four equal sides and four equal angles Each angle is holds 90-degree angles, or right angles of each facing side is equal to the opposite side.
Formula:
(a) Area of Square = 4L² or (side)² = 1/2 = (Diagonal)².
The area can also be calculated using the diagonal d according to
A = D²/2
(b) Perimeter of a Square = 4L or 4 x Side.
The circumference R, the area of a square is
A = 2R²
(c) A room has four wall and its Area of 4 wall is 2 x (Length + Breadth) x Height.

2. Circle
A circle is a simple form and it is a set of series of all points in a plane that is given and its distance make same from the center.
Formula:
(a) Area of a circle
Area of a circle is = πr²
Where π = 22 / 7, or π = 3.14285………
Or Area of Circle is = 22 / 7 x r x r.
(b) Circumference of a Circle
Circumference of a Circle is = 2πr
OR, 2 x 22 / 7 x r (r = radius).
(c) Semi-Circle:
Area of semi-circle = πr² / 2 = 1 / 2πr²
Circumference = 2πr / 2 + 2r = r(π + 2)
Diameter : = 2 √(area /π)
Area = π (diameter / 2)²
Perimeter = π (diameter).
Diameter = (Perimeter / π).

3. Rectangle
A rectangle is four side of with right angle. Each side of Rectangle is equal and parallel and each angles is a 90° is called Rectangle, and its properties are  given as, Equal angle means that all of its angles are equal ( 360° / 4 = 90° ). It can also be defined as a parallelogram which has containing a right angle.
Formula:
(a) Area of Rectangle
L x B
Here, L = Length and B = Breadth of a Rectangle.
(b) Perimeter of Rectangle
2 x (L + B)

Solved Examples