Mathematics

Difference between Area and Perimeter

the basic difference between Area and Perimeter is that Area is the measurement of space inside a shape or the number of square units inside a shape or object while Perimeter is the measurement of the distance around the shape. the area can be calculated by the formula A= L x W (length x width) and the perimeter is measured through formula P= L x L x W x W ( Length x Length x Width x Width).

Difference between Area and Perimeter

In this article, you are going to learn a complete explanation about the difference between Area and Perimeter.

This Article Also includes:

  • Overview
  • What is the area?
  • What is the perimeter?
  • Examples of both
  • Lots more…!

So if you want to get benefits from this post you’ll love this post.

Let’s Dive right in…!

Overview

in geometry, the perimeter and area both are frequently used terms and have equivalent importance. sometimes, students got confused due to the similarity of both terms but keep in mind that they possess big differences such that the area, just like a circle, is a two-dimensional space with a closed shape.

the perimeter is the outer length of a shape or figure. to measure the length of the boundary of a cricket ground we use to say its area while perimeter can be the fence as an example around the orchard of flowers. to know more about both let’s discuss them further below.

Difference between area and perimeter in Tabular form

Area

Perimeter

Definitions

The region, space inside of a closed shape is known as area. The distance outside or around a closed shape is called its perimeter.

Examples

For example, the inside area of a cricket playground for a player to hit a boundary. Putting the fence on the border of a country.

 

Measurement units

The base unit is (sq) e.g 48ft², 68in². It is measured in simple dimensions e.g 500m.

Area and perimeter of a rectangle

As rectangle, LW as length and width. As a rectangle, we take 2L+2W where L and W stand for Length and Width.

What is Area?

the area is a quantity that can be defined as the region of space surrounded by a 2D object. the SI unit for area is a square meter or m². in mathematics we deal with many geometric shapes to find their areas such as ellipses, circles, triangles, rectangles, and so on.

for example, we want to calculate the area of a polygon. we divide the polygon into many possible triangles to do so.

we have to deal with various types of area formulas for different shapes e.g., circles, triangles, and rectangles, etc., and sometimes we need to convert one type of figure to another to find the area. for example, we divide the polygon into various triangles around the curved path to calculate its area.

these are simple shapes with a fixed size. on the other hand, dealing with solids shapes like cylinder, cone, or sphere, we calculate their boundaries as area. now we suppose to calculate their surface area than that of the area.

Units of the Area while Measuring

we use several units of lengths in calculus and geometry and each unit has its own corresponding unit of area. for example, the area of a square with its side lengths can be measured with m², cm², mm²,km²,ft², yd,², etc. depending on the unit lengths, we are measuring this area. however, the derived SI unit of area is m².

What is Perimeter?

the word perimeter derived from the Greek περίμετρος perimetros from περί peri “around” and μέτρον metron “measure”. It is a distance, outer boundary, or path around a two-dimensional shape. for circle or ellipse, it is known as the circumference.

as discussed above, it can be the fence around an orchard or the boundary of a playground. the circumference means how far the shape can be rolled in one rotation.

Formulas related to Perimeter

Shape

Formula

 Triangle  a+b+c
Circle 2πr = 2πd/2=πd
rectangle 2(l+w)
square or rhombus 4a
regular polygon 2nbsin(π/n)
equilateral polygon n X a
general polygon a1+a2+a3+a4……..+an=(∑¹ai)

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