Area – Quantitative Aptitude

Quantitative Aptitude – Area

One of the most important chapter on quantitative aptitude is Area. Most of the competitive exams, which have quantitative aptitude part, have questions from area chapter. So, learn this topic very carefully.

In quantitative aptitude part of your exam, few question will surely come from area chapter. To solve those questions, you need to learn area chapter very carefully. Now here in this page below we discuss the basic ideas and formulas of area chapter. Read carefully are practice the practice set to improve your learning skills.

What is Area ?

In mathematical term we can define area as a amount of two dimensional space which is acquire by an object.

 

Basic formulas of Area
Rectangle

• 1. Areα of a Rectangle = (Length x Breadth)
  therefore, Length = (Areα / Breadth) and Breadth = (Areα / Length).

• 2. Perimeter of a Rectangle = 2 x (Length + Breadth).

Square

• Areα of a Square = (side)² = ½(diagonal)².

Triangle

• Areα of a Triangle = ½ x Base x Height.

• Areα of a Triangle = √(s(s-x)(s-y)(s-z)).
  where x, y, z are the sides of the triangle and s = ½(x + y + z).

• Areα of an equilateral Triangle = √¾ x (side)².

• Radius of incircle of an Equilateral Triangle of side x = x / (2√3).

• Radius of circumcircle of an Equilateral Triangle of side x = x / √3.

• Radius of incircle of a Triangle of areα Δ and semi-perimeter r = Δ / s.

Circle

• Areα of a circle = ΠR², where R is the radius.

• Circumference of a circle = 2ΠR.

• Length of an arc = 2ΠRθ / 360, where θ is the central angle.

• Areα of a sector = ½(arc x R) = ΠR²θ / 360.

Semi-Circle

• Circumference of a semi-circle = ΠR.

• Areα of semi-circle = ΠR² /2.

Parallelogram

• Areα of Parallelogram = (Base x Height).

Rhombus

• Areα of a Rhombus = ½ x (Product of diagonals).

Trapezium

• Areα of a trapezium = ½ x (sum of parallel sides) x distance between them.

Others

• Areα of four walls of a room = 2 (Length + Breadth) x Height.

 

So, this is the basic idea and formulas of this topic. Now, if you have any query or question to ask, then please feel free to ask us here. Our team members of www.AptitudeTricks.com will discuss about your questions.