Mensuration : Length, Area, and Volume : Introduction to Measuring Area

maths > mensuration-basics

Introduction to Measuring Area

what you'll learn...

Overview

Area of a plane figure : The surface-span of a plane figure is the area of the surface. It is measured in square meter (or in one of other derived or similar forms). measurement of area Area is specified as a number in reference to the surface-span of a square of $1$ $1$ meter side.

surface-span

The length of a rod is the distance-span measured in meter.

For a surface of some shape (like a paper, or a leaf), the measure of the surface-span is area. Area is the surface-span of an enclosed 2D-region.

To specify distance-span or length, a reference-prototype-standard (ie a metal rod of specific material at specific temperature) was defined. Any length measurement is specified in reference to the prototype-standard.

Similarly, to specify area, a reference-prototype-standard can be defined. But, it is simpler to define the measurement of area using the already defined measure of length.

To specify the surface-span or area of a surface, a square of side $1$ $1$ meter is taken as the reference. The area of that is one square meter or $1 m^{2}$ $1m^2$ . In the figure this is shown in the top right corner.

Area of a surface is given in reference to the area of a square of side $1$ $1$ meter. In the figure, the area of the given rectangle is the number of $1$ $1$ square meter squares fit in that rectangle. It is counted to $6$ $6$ , so the area of the rectangle is $6 m^{2}$ $6m^2$ .

The statement "area of the paper is $3$ $3$ square meter" specifies that "The surface-span of the paper equals $3$ $3$ surface-spans of a square of side $1$ $1$ meter".

summary

Outline

The outline of material to learn "Mensuration basics : Length, Area, & Volume" is as follows.

Note: click here for detailed outline of Mensuration (Basics).

• Measuring Basics

→ Introduction to Standards

→ Measuring Length

→ Accurate & Approximate Meaures

→ Measuring Area

→ Measuring Volume

→ Conversion between Units of Measure

• 2D shapes

→ Perimeter of Polygons

→ Area of Square & rectangle

→ Area of Triangle

→ Area of Polygons

→ Perimeter and area of a Circle

→ Perimeter & Area of Quadrilaterals

• 3D shapes

→ Surface Area of Cube, Cuboid, Cylinder

→ Volume of Cube, Cuboid, Cylinder