# Exercise 4.3 class 8 solution

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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).

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

students can view or download the pdf from here.click at the bottom to scroll the pdf pages.we provide Exercise 4.2 class 8 solution, just to help student to achieve the efficiency.

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Exercise 4.4 class 8 solution

Exercise 5.4 class 8 solution