### Area

Area : The space bounded by any two-dimensional shape in a plane.

Let's paint the potatoes in different shapes, then press them onto paper. The area is wherever there's paint on the paper; that's the area of your shape.

Handprint Painting

How much imprint you leave is the area of your hand.

The more you paint, the greater your area is. Area is the imprint on the plane. Area is two-dimensional and is a surface.

Painted Surface = Painted Area

# Examples

The figure shows a complete circle. If I cut it right through the middle and reposition the halves so they are back-to-back and tangent to each other, how does the area change? Does it increase, decrease, or remain the same?

**Answer : Remains same . **

It remains the same. I didn't add or remove any painted area, nor did I overlap any. The visible and tangible surface of the shape stayed the same.

# Example

**Which one has a larger area ?**

Answer : All of them have the same area; each consists of 4 units.

# Example

## Answer

# Which one has a larger area ?

If you look closely at the surfaces, you can see that the area of the first shape, which is the circle, is larger.

I hope you have understood the concept of area.

# Measuring the area, How large is our area?

**International System (SI) Units:**

**Imperial/US Customary System:**

# To measure/calculate the area of a shape means to determine how many unit squares can fit into that shape.

Calculate

In this example, our units fit perfectly into the shape. What if they don't? What do we need to do?

# What happens if our area cannot be completely filled with squares?

# Why do we use squares to measure area?

**What happens if we use a circle?**

No matter how small the circles we use, there will always be gaps in between. Therefore, we can't completely cover the area, and because of that, we can't measure the area precisely.

- When you use squares to measure an area, you can easily count them or use mathematical formulas to determine the total area
- Additionally, squares can be closely packed without any gaps, unlike other shapes such as circles, which would leave spaces in between when used to measure area. Using squares ensures a more accurate representation of the space being measured

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