Introduction

Quantitative Analysis requires a lot of practice and hardwork since its an analytical subject. Before becoming an expert one should understand the basics of Quantitative Analysis for Government Bank Job Exams for SBI, RBI, RRB and IBPS. This section gives you all details about the basics of Quantitative Analysis. Here you can get the Free Notes and PDF downloads for Quantitative Analysis to prepare for the Bank PO and Clerical Jobs in India. Our experts are available incase you need any kind of online help to understand any topic or any kind of doubt clearing

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17. AREA

A. RESULTS ON TRIANGLES:

1. Sum of the angles of a triangle is 180 degrees.

2. Sum of any two sides of a triangle is greater than the third side.

3. Pythagoras theorem: In a right angle triangle, (Hypotenuse)² = (base)² + (Height)²

4. The line joining the midpoint of a side of a triangle to the opposite vertex is called the MEDIAN

5. The point where the three medians of a triangle meet is called CENTROID. Centroid divides each of the medians in the ratio 2:1.

6. In an isosceles triangle, the altitude from the vertex bi-sects the base

7. The median of a triangle divides it into two triangles of the same area.

8. Area of a triangle formed by joining the midpoints of the sides of a given triangle is one-fourth of the area of the given triangle.

B. RESULTS ON QUADRILATERALS:

1. The diagonals of a parallelogram bisects each other .

2. Each diagonal of a parallelogram divides it into two triangles of the same area

3. The diagonals of a rectangle are equal and bisect each other.

4. The diagonals of a square are equal and bisect each other at right angles.

5. The diagonals of a rhombus are unequal and bisect each other at right angles.

6. A parallelogram and a rectangle on the same base and between the same parallels are equal in area.

7. Of all the parallelograms of a given sides , the parallelogram which is a rectangle has the greatest area.

C. IMPORTANT FORMULAE

1. Area of a rectangle=(length*breadth), Therefore length = (area/breadth) and breadth=(area/length)

2. Perimeter of a rectangle = 2 * (length+breadth)

3. Area of a square = (side)² =1/2(diagonal)²

4. Area of four walls of a room = 2*(length + breadth)*(height)

5. Area of the triangle=1/2(base*height)

6. Area of a triangle = (s*(s-a)(s-b)(s-c))^1/2, where a,b,c are the sides of a triangle and s= ½(a+b+c)

7. Area of the equilateral triangle =((3^1/2)/4)*(side)²

8. Radius of incircle of an equilateral triangle of side a=a/2(3^1/2)

9. Radius of circumcircle of an equilateral triangle of side a=a/(3^1/2)

10. Radius of incircle of a triangle of area del and semiperimeter S=del/S

11. Area of the parellogram =(base *height)

12. Area of the rhombus=1/2(product of the diagonals)

13. Area of the trapezium=1/2(size of parallel sides)*distance between them

14. Area of a circle =pi*r²,where r is the radius

15. Circumference of a circle = 2πR

16. Length of an arc = 2πR θ/(360) where θ is the central angle

17. Area of a sector = (1/2) (arc x R) = pi*R²*θ/360.

18. Area of a semi-circle = (pi)*R².

19. Circumference of a semi-circle = (pi)*R.

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