We know that
Area is surface inside the figure
But how do we find the area?
We consider a squared paper like this
In this squared paper,
We make a rectangle like
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
But what does square units means?
In our figure
Unit means the size of 1 square
Unit can be anything,
cm
m
km
Now,
Square units means
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
Now, we count the squares
Number of squares = 25
So,
Area = 25 square units
Area of Circle
Let’s find area of circle
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
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