NCERT exercise 4.3 class 8 solution -students can click here to download the entire pdf chapterwise .here free pdf can be download for NCERT solution class 8. all Exercise are available here. These solutions are available in downloadable PDF format as well. it will help students in getting rid of all the doubts about those particular topics that are covered in the exercise. The NCERT textbook provides plenty of questions for the students to solve and practise. Solving and practising is more than enough to score high in the Class 8 examinations. Moreover, students should make sure that they practise every problem given in the textbook . exercise 4.3 class 8 solution Pdf can be downloaded free here.
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Exercise 4.3 class 8 solution – circle graph or pie chart
A circle graph, commonly known as a pie chart, is a circular data visualization that divides data into different “slices” or “sectors” of the whole circle. Each slice represents a category or data component, and the size of each slice is proportional to the quantity it represents. Pie charts are useful for displaying the composition or distribution of data in a visually intuitive way.
Exercise 4.3 class 8 solution – Creating a pie chart involves representing data as sectors in a circular graph, where each sector’s size is proportional to the data it represents. Here’s how to create a pie chart step by step:
Step 1: Collect Data
First, you need to have data that you want to represent. For this example, let’s assume you want to create a pie chart to represent the distribution of a company’s annual revenue by product categories. Here’s the revenue data for four product categories:
- Product A: $50,000
- Product B: $30,000
- Product C: $20,000
- Product D: $40,000
Step 2: Calculate Percentages
Calculate the percentage each product category’s revenue contributes to the total revenue. To do this, divide each category’s revenue by the total revenue and multiply by 100.
- Product A: (50,000 / 140,000) * 100% = 35.71%
- Product B: (30,000 / 140,000) * 100% = 21.43%
- Product C: (20,000 / 140,000) * 100% = 14.29%
- Product D: (40,000 / 140,000) * 100% = 28.57%
Step 3: Calculate Central Angles
To create the sectors in the pie chart, calculate the central angle for each category. Use the following formula to determine the central angle for each category:
Central Angle (in degrees) = (Percentage / 100) * 360 degrees
- Product A: (35.71 / 100) * 360 = 128.556 degrees (approximately 128.6 degrees)
- Product B: (21.43 / 100) * 360 = 77.148 degrees (approximately 77.1 degrees)
- Product C: (14.29 / 100) * 360 = 51.444 degrees (approximately 51.4 degrees)
- Product D: (28.57 / 100) * 360 = 103.848 degrees (approximately 103.8 degrees)
Step 4: Draw the Pie Chart
Now that you have calculated the central angles for each category, you can draw the pie chart. You can use a protractor or drawing software for this. Each sector should have a central angle corresponding to the calculated values.
Label each sector with the product category name and its percentage (if desired).
Step 5: Add a Legend
To make the pie chart more informative, you can add a legend or key that associates each sector’s color or pattern with its respective product category
A pie chart is a great way to visually represent the distribution of data, especially when you want to show how parts make up a whole, such as revenue distribution by product categories in this example.
NCERT exercise 4.3 class 8 solution- central angle
Measuring the central angle of a sector in a circle, as in the case of a pie chart or any circular data representation, involves determining the angle at the center of the circle that represents a particular portion or category of data. Here’s how you can measure the central angle:
Step 1: Determine the Data Percentages
First, you need to know the percentage that a particular category or sector represents relative to the total. This percentage is typically calculated based on the data you have. For example, if you are creating a pie chart to represent the distribution of a budget, you may have percentages like 20% for rent, 30% for groceries, and so on.
Step 2: Use the Formula to Calculate the Central Angle
The central angle (in degrees) for a sector in a circle can be calculated using the following formula:
central Angle (in degrees) = (Percentage / 100) * 360 degrees
- Percentage is the percentage of the data that a particular category represents.
- 360 degrees is the total number of degrees in a circle
NCERT exercise 4.3 class 8 solution – exercise preview
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Exercise 4.3 class 8 solution – solution pdf
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