Mensuration - Other than general shapes for competititve exams


Mensuration is the branch of mathematics which deals with the study of different geometrical shapes,their areas and Volume.In the broadest sense, it is all about the process of measurement. It is based on the use of algebraic equations and geometric calculations to provide measurement data regarding the width, depth and volume of a given object or group of objects. While the measurement results obtained by the use of mensuration are estimates rather than actual physical measurements, the calculations are usually considered very accurate.

What Is a Pentagon?

Equilateral plane figureWe learn about all different types of shapes in geometry. One kind of flat shape is the polygon, also known as a plane figure, and it's made of lines (sides) and corners where the lines connect. Plane figures are often named based on the number of sides and corners they have. A pentagon is a plane figure that has five sides and five corners.

Why Is It Called a Pentagon?

The word pentagon contains Greek roots. When we break down the word into parts, penta means five and gon roughly means angles. An angle is where two lines come together and connect, so you can think of an angle as a corner of a shape. As you can see, the shape is named 'pentagon' because it has five angles, or corners!

Types of Pentagons

The pentagon in Figure A is a regular pentagon. We call it 'regular' because the sides are all equal in length. When the sides are equal lengths, we know that the angles are equal as well. That's because when sides are equal distances from each other, their placement naturally creates equal-sized angles or corners. You can draw lines through a pentagon in five different places and divide it equally into two sections. These lines are called lines of symmetry.
But not all pentagons are regular. There are pentagons that have sides that are not all equal, and so they also have angles that are not equal. These are called irregular pentagons, since some sides and angles are bigger or smaller than the others. They do not have the lines of symmetry that a regular pentagon has.
User created Pentagon

http://www.mathopenref.com/images/polygons/pentagon.jpgReal-World Examples

On the right is the well-known headquarters building for the US Department of Defense - commonly known as "The Pentagon" due to its shape.

Practice Set 

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