RS Aggarwal Solutions Class 8 Chapter-24 Pie Charts (Ex 24A) Exercise 24.1 - Free PDF
FAQs on RS Aggarwal Solutions Class 8 Chapter-24 Pie Charts (Ex 24A) Exercise 24.1
1. What is a pie chart as defined in the Class 8 Maths syllabus?
A pie chart is a circular statistical graphic used in data handling to show the relationship between a whole and its parts. The entire circle represents the total value (or 100%), while the different slices, known as sectors, represent the proportionate value of each individual component. It is a visual tool for comparing the contribution of each category to the whole.
2. How do the solved problems in RS Aggarwal Solutions for Chapter 24 help master pie charts?
The RS Aggarwal Solutions for Chapter 24 provide detailed, step-by-step methods that are crucial for mastering pie charts. They help by:
Illustrating the correct way to calculate the central angle for each data component, a fundamental step in construction.
Demonstrating how to interpret existing pie charts to find actual values or percentages.
Building problem-solving speed and accuracy, which is essential for Class 8 exams, by providing clear worked-out examples for every question in Exercise 24.1.
3. What are the step-by-step instructions for constructing a pie chart for a given dataset?
To construct a pie chart accurately, as shown in the solutions for RS Aggarwal Class 8, follow these essential steps:
Step 1: Sum all the individual data values to find the total frequency.
Step 2: Calculate the central angle for each data component using the formula: Central Angle = (Value of Component / Total Value) × 360°.
Step 3: Use a compass to draw a circle of a suitable size.
Step 4: Draw one radius to act as a baseline. Use a protractor to measure and draw the first sector based on its calculated central angle.
Step 5: Using the new line as a baseline, continue to draw the other sectors consecutively until the circle is complete. Be sure to label each sector clearly.
4. Why is it essential to calculate the central angle for each sector in a pie chart?
Calculating the central angle is the most critical step because it ensures that the size of each sector is mathematically proportional to the quantity it represents. The entire circle is 360°, which corresponds to the total sum of the data. By converting each component's fraction of the whole into a corresponding angle, you create a visually accurate representation. An incorrect angle would distort the chart and lead to false conclusions about the data's distribution.
5. How do you find the actual value represented by a sector in a pie chart if the total value is known?
To determine the actual value of a specific component from its sector in a pie chart, you use its central angle. The formula is: Value of Component = (Central Angle of the Sector / 360°) × Total Value. This calculation effectively reverses the process of creating a pie chart and is a common type of problem found in Chapter 24, Exercise 24.1.
6. When would it be more appropriate to use a bar graph instead of a pie chart?
A bar graph is more appropriate than a pie chart when the goal is to compare individual data categories with each other, rather than showing their proportion to a whole. A bar graph is also a better choice in the following situations:
When comparing data over a period of time.
When there are many categories, which would make a pie chart cluttered and difficult to read.
When the sum of the components does not equal a meaningful whole.
7. What is a common mistake students make while solving problems on pie charts?
A frequent mistake is confusing a component's percentage with its central angle. For example, a student might incorrectly draw a 20% sector as a 20° angle. The correct method is to first convert the percentage to an angle by calculating (20 / 100) × 360° = 72°. Always ensure you convert fractions or percentages into degrees before using a protractor to draw the sectors.











