Mensuration In Aptitude For Competitive Exams

Mensuration In Aptitude For Competitive Exams Like CAT, SSC, IBPS Bank PO, IAS, Gate And Other Government Exams.

In This Mensuration Topic, We Will Focus On The Geometry Concepts.
1.Triangle: The Geometry Consist Three Sides Called Triangle.
Types Of Triangle: There Are basically Three Types Of Triangle, When We Consider Their Sides.
A.Equilateral Triangle: The triangle Of Which Three Sides Are Equal, Called Equilateral Triangle.In Equilateral Triangle All Sides Are Equal And All Angles Are Equal.Angle Is Of 60 Degree.
B.Isosceles triangle: In Isosceles Triangle Two Sides And Opposites Angles Are equal.
C.Scalene Triangle: In This Triangle All Sides And All Angles Are Unequal.
There Are Basically Three Types Of Triangle, When We Consider Angles:
A.Acute Angled triangle: All Of Three angles Are Less Than 90 Degree.
B.Obtuse Angled triangle: A triangle In Which One angle Is Greater Than 90 Degree.
C.Right Angled triangle: In Right Angled Triangle One Angle Is Of 90 Degree.

Formulas And Concepts For Triangle:
1.Sum Of All Angles Of A triangle Is Of 180 Degree.
Let Us Take Angle Of triangle Is A, B And C Then
A+B+C = 180Degree
2.Area Of Triangle = 1/2*Base*Height.
3.Area Of Equilateral Triangle: [(3^1/2)/4* (Side)*2] = We Can Read This Root 3 By 4 Multiplied By Side Square.
4.Sum Of Two Sides Of A Particular Triangle Is Always Greater Than Third Side.
5.Hero Formula For Triangle: [s(s-a)(s-b)(s-c)]^1/2
Where s = (a+b+c)/2
a, b, c Are The Sides Of Triangle.
2.Rectangle Concepts And Formulas:
Rectangle Is An Area Or Geometry Of Which Opposite Sides Are Equal And All Angles Are Of 90 Degree.

• Rectangle Area: Length*Breadth.
• Rectangle Perimeter: 2*[Length+Breadth].
• Rectangle Diagonal: [(Length)^2 + (Breadth)^2]^1/2
• Area Of Room Of Four Walls: 2*Height*[length+height]

3.Concepts And Formulas On Square:
A Square Has All Sides Equal And All Angles Are Of 90 Degree.

• Area Of Square: (Side)^2 = 1/2*(Diagonal)^2.
• Perimeter Of Square: 4*Side.
• Length Of Diagonal: Side*1.414

4.Concepts And Formulas Of Quadilateral:
Sum Of Angles Of Quadilateral Is 360 Degree.

• Quadilateral Area Is Base* Height.
• Quadilateral Perimeter: 2[Base+Height].

5.Concepts And Formulas On Parallelogram:
A Parallelogram Is A Geometry In Which Opposite Sides Are equal.

• Area Of paralleogram: Base * Height.
• Perimeter Of paralleogram: 2*(Base+Height).

6.Concepts And Formulas On Rhombus:
A Rhombus Is Structure Or Area In Which, All Sides Are Equal.

• Area Of Rhombus: 4 * Side.
• Area Of Rhombus: 1/2*(Product Of Diagonals) = 1/2*d1*d2.
• Diagonal 1 = d1
• Diagonal 2 = d2

7.Concepts And Formulas On Circle And Semicircle:
When We take Radius = r
Then Area Of Circle = Pi*r^2 (Pi = 3.14)
Circle Circumference = 2*Pi*r
Circle Diameter = 2*r
Semi-Circle Area = (Pi*r^2)/2
Semi-Circle Circumference = (pi*r+2*r)
8.Concepts and Formulas On Trapezium:
Trapezium Area = 1/2*(Sum Of Parallel Sides)* Distance Between parallel Sides.



Quantities aptitude questions given here are extremely useful for all kind of competitive exams like Common Aptitude Test (CAT),MAT, GMAT, IBPS 

Exam, CSAT, CLAT , Bank Competitive Exams, ICET, UPSC Competitive Exams, CLAT, SSC Competitive Exams, SNAP Test, KPSC, XAT, GRE, Defense 

Competitive Exams, L.I.C/ G. I.C Competitive Exams , Railway Competitive Exam, TNPSC, University Grants Commission (UGC), Career Aptitude Test 

(IT Companies) and etc, Government Exams etc ,Quantitative Aptitude For Competitive Examinations by R. S. Aggarwal , Quantitative Aptitude Book 

Description. Quantitative Aptitude for Competitive Examination (Fully Solved) Bank P.O, S.B.I. P.O; I.B.P.S; R.B.i. Exam