We know that

  Area is surface inside the figure

 

But how do we find the area?

We consider a squared paper like this

30.jpg

 

In this squared paper,

We make a rectangle like

31.jpg

 

To find area, we count the squares inside the rectangle

Number of square = 15

 

So, Area = 15 square units

 

Here,

Area will be equal to number of squares

32.jpg

 

But what does square units means?

 

In our figure

33.jpg

Unit means the size of 1 square

Unit can be anything,

  cm

  m

  km

 

Now,

Square units means

34.jpg

While calculating area by counting squares,

we follow these rules

  • If area is less than half square, ignore it (take it 0)
  • If area is more than half square, take it 1 square unit
  • If area is exactly half square, take 1/2 square unit

Let’s solve some examples

 

Let’s find area of this square

35.jpg

 

Now,  we count the squares

Number of squares = 25

So,

      Area = 25 square units

 

Area of Circle

Let’s find area of circle

36.jpg

Covered Area

Number

Area

Fully - filled squares

4

1 × 4 = 4

Half - filled squares

4

1/2 × 4 = 2

More than Half - filled squares

8

1 × 8 = 8

Less than Half - filled squares

0 0

 

So,

Area = 4 + 8 + 2

        = 14 Square units

 

Area of Pentagon

37.jpg

Covered Area

Number

Area

Fully - filled squares

4

1 × 4 = 4

Half - filled squares

0

0

More than Half - filled squares

4

1 × 4 = 4

Less than Half - filled squares

6 0

 

So,

     Area = 4 + 4 + 0

             = 8 Square units

  1. Chapter 10 Class 6 Mensuration
  2. Concept wise

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Davneet Singh
Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 8 years. He provides courses for Maths and Science at Teachoo. You can check his NCERT Solutions from Class 6 to 12.