Download RS Aggarwal Class 8 Solutions Chapter 24- Pie Charts
FAQs on RS Aggarwal Solutions Class 8 Chapter-24 Pie Charts (Ex 24B) Exercise 24.2 - Free PDF
1. What is the main focus of Exercise 24B in RS Aggarwal's Class 8 Maths Chapter 24 on Pie Charts?
Exercise 24B primarily focuses on the interpretation of existing pie charts. Unlike Exercise 24A, which deals with constructing pie charts, this exercise tests your ability to calculate the actual value of a component when its central angle is given. The core skill is applying the formula to convert a sector's angle back into a quantifiable number or amount based on the total value represented by the chart.
2. What is the correct step-by-step method to solve problems in RS Aggarwal Class 8 Exercise 24B?
To solve problems from Exercise 24B, follow this method:
Step 1: Identify the 'Total Value' that the entire pie chart represents. This is usually given in the problem statement.
Step 2: Note the central angle in degrees for the specific component you need to find the value for.
Step 3: Apply the formula: Value of Component = (Central Angle of Component / 360°) × Total Value.
Step 4: Substitute the known values into the formula and perform the calculation to find the answer.
3. Why is the central angle in a pie chart always calculated out of a total of 360 degrees?
The central angle is calculated out of 360° because a pie chart is a circular representation of data. A complete circle encompasses an angle of 360 degrees at its center. This total angle represents the 'whole' or 100% of the data being presented. Therefore, each 'slice' or sector of the pie chart is a fraction of that whole, and its size is proportionally represented by its angle out of the total 360°.
4. How do the RS Aggarwal solutions for Chapter 24 help in mastering pie chart calculations?
The RS Aggarwal solutions for Chapter 24 help by providing clear, detailed breakdowns of each problem. They demonstrate the correct application of the formula for both constructing charts (Ex 24A) and interpreting them (Ex 24B). By following the step-by-step process, students can understand the logic behind converting data into degrees and, conversely, degrees back into actual values, reinforcing the concepts as per the latest 2025-26 CBSE syllabus for Class 8 Maths.
5. What is a common mistake to avoid when solving problems from Exercise 24B?
A common mistake is confusing the formulas between interpreting and constructing a pie chart. In Exercise 24B, you are given the angle and need to find the value. Some students mistakenly use the formula for finding the angle, leading to incorrect answers. Always ensure you are using the correct formula for the question type: Value = (Angle/360) × Total, and not the other way around.
6. How can you verify if your calculated values for all components in a pie chart problem are correct?
A reliable way to verify your answers is to use the 'sum-check' method. After you have calculated the individual value for every sector or component shown in the pie chart, add all these calculated values together. The sum of all the individual component values must equal the Total Value that was initially provided in the problem. If the sum matches the total, your calculations are most likely correct.
7. In what real-world scenarios is the skill of interpreting a pie chart, as taught in Exercise 24B, useful?
The skill of interpreting a pie chart is widely applicable in real life. For example:
Budgeting: Understanding how a monthly household income (the total value) is spent on different categories like food, rent, and transport (the components).
Business Reports: Analysing market share where a company's sales are shown as a percentage of total industry sales.
Election Results: Visualising the vote share for different political parties from a total number of votes cast.
This exercise builds the practical skill of extracting precise figures from a visual data summary.
