area volume

Area : is defined as the number of unit squares that cover the shape without any gaps or overlaps.

==Length== or ==Width==

==Area== = ==Length== × ==Width==

==Volume== = ==Area== × ==Height== or Length × Width × Height

==Rectangle==

![[1000048716.jpg]]

[!important]
Area of Rectangle = Length × Width

• A square is special case of Rectangle where all side’s are equal.

i.e. Length= Width= a

[!important]
Area of Square = a²

Diagonal

• Using Pythagoras Theorem

Diagonal of Rectangle

[!important]
Length ² + Width ² = Diagonal ²

Diagonal of Square

In square length = Width

So Length ² + Length ² = Diagonal ²

[!important]
2 Length ² = Diagonal ²

Circumference of Rectangle and Square

[!important]
Rectangle = 2 Length + 2 Width

[!important]
Square = 4 Sides

Area of Circle

What is π

π (pi) is the ratio of a circle’s circumference to its diameter .

![[1000048748.gif]]

Circumference of Circle

Area of Circle

![[1000048721.gif]]