Calculating areas is an important part of Year 7 math. Each shape has its own special way to find its area. Let’s look at rectangles and circles.

For rectangles, the area is easy to find. You need to know two things: the length ($l$) and the width ($w$) of the rectangle. To get the area, you just multiply these two numbers together.

Here's the formula:

$$\text{Area} = l \times w$$

For example, if a rectangle is 5 cm long and 3 cm wide, you would calculate:

$$\text{Area} = 5 \, \text{cm} \times 3 \, \text{cm} = 15 \, \text{cm}^2$$

That means the area of the rectangle is 15 square centimeters.

Now, let’s talk about circles. The way we find the area of a circle is a bit different. We focus on the radius ($r$), which is the distance from the center of the circle to its edge.

The formula for the area of a circle is:

$$\text{Area} = \pi r^2$$

In this formula, $\pi$ is a special number, about 3.14.

For example, if a circle has a radius of 4 cm, the area would be:

$$\text{Area} = \pi (4 \, \text{cm})^2 \approx 3.14 \times 16 \, \text{cm}^2 \approx 50.24 \, \text{cm}^2$$

So, this circle’s area is about 50.24 square centimeters.

To sum up:

• Area of a Rectangle: $l \times w$
• Area of a Circle: $\pi r^2$

These formulas help us measure spaces in different shapes. Knowing how to use them is important for understanding more complex math later on.