Cara Mencari Luas Daerah yang Diarsir

>Hello Sohib EditorOnline, we are going to talk about how to find the area of a shaded region or luas daerah yang diarsir. This article will guide you step by step on how to calculate this in a simple and easy way. We hope you find it helpful.

What is a Shaded Region?

Before we start, let’s define what a shaded region is. A shaded region is the area enclosed by a shape or figure and is marked by shading or coloring. The shaded region can be part of the shape or the entire shape itself.

Example of Shaded Regions

Here are some examples of a shaded region:

These are just some examples of a shaded region, there are many more shapes and figures where you can calculate the area of the shaded region. Now, let’s move on to the main topic of this article.

How to Find the Area of a Shaded Region?

Step 1 – Identify the Shapes Involved

The first step is to identify the shapes involved in the shaded region. Most shaded regions are made up of basic geometric shapes such as squares, rectangles, triangles, and circles. Sometimes they can be a combination of these shapes. It’s important to recognize the shapes involved to be able to calculate their individual areas.

Step 2 – Calculate the Area of the Individual Shapes

The next step is to calculate the area of each individual shape. This can be done using the appropriate formula for each shape. Here are some examples:

Calculating the Area of a Square

The formula for the area of a square is:

Area = side x side

For example, if the side of a square is 5 cm, then the area would be:

Area = 5 cm x 5 cm = 25 cm²

Calculating the Area of a Rectangle

The formula for the area of a rectangle is:

Area = length x width

For example, if the length of a rectangle is 6 cm and the width is 4 cm, then the area would be:

Area = 6 cm x 4 cm = 24 cm²

Calculating the Area of a Triangle

The formula for the area of a triangle is:

Area = 1/2 x base x height

For example, if the base of a triangle is 8 cm and the height is 6 cm, then the area would be:

Area = 1/2 x 8 cm x 6 cm = 24 cm²

Calculating the Area of a Circle

The formula for the area of a circle is:

Area = π x radius²

For example, if the radius of a circle is 3 cm, then the area would be:

Area = π x 3 cm x 3 cm = 28.27 cm²

Step 3 – Calculate the Area of the Shaded Region

Once you have calculated the area of each individual shape, the next step is to calculate the area of the shaded region. This can be done by subtracting the area of the unshaded part from the area of the entire shape.

Here’s an example:

You are given a rectangle with a length of 10 cm and a width of 6 cm. A square with a side length of 4 cm is located in the center of the rectangle as shown below:

To calculate the area of the shaded region, we first need to calculate the area of the entire rectangle:

Area of rectangle = length x width = 10 cm x 6 cm = 60 cm²

Next, we need to subtract the area of the unshaded part, which is the area of the square:

Area of square = side x side = 4 cm x 4 cm = 16 cm²

Area of shaded region = Area of rectangle – Area of square = 60 cm² – 16 cm² = 44 cm²

Therefore, the area of the shaded region is 44 cm².

FAQ

1. Can the shaded region be outside the shape?

No, the shaded region is always inside the shape or figure.

2. What if the shaded region is made up of irregular shapes?

For irregular shapes, the area can be calculated by breaking it down into smaller, regular shapes and then adding up their areas.

3. Can I use the same method to find the area of a shaded region on a 3D shape?

No, the method used in this article only applies to 2D shapes. For 3D shapes, a different method should be used.

4. Do the shapes involved in the shaded region have to be different?

No, they can be the same shapes or a combination of different shapes.

5. Can I estimate the area of a shaded region?

Yes, but it will not be as accurate as calculating it using the method described in this article.

Conclusion

Calculating the area of a shaded region may seem daunting at first, but with the right steps and formulas, it can be done easily. By following the steps in this article, you can find the area of any shaded region in no time. We hope you found this article helpful, and if you have any questions or comments, feel free to leave them below.

Cara Mencari Luas Daerah yang Diarsir