Pie Charts Solutions By RS Aggarwal - Free PDF Download
FAQs on RS Aggarwal Class 8 Mathematics Solutions for Chapter-24 Pie Charts
1. What topics are covered in the RS Aggarwal Class 8 Maths Solutions for Chapter 24, Pie Charts?
The solutions for Chapter 24 on Pie Charts provide comprehensive, step-by-step guidance on two main types of problems. These solutions are structured to help students master both the creation and interpretation of pie charts, covering the exercises in the chapter:
Constructing Pie Charts (Exercise 24A): This section focuses on the method of converting raw data into a visual pie chart. It explains how to calculate the central angle for each data component and accurately draw the corresponding sectors.
Interpreting Pie Charts (Exercise 24B): This section teaches how to analyse an existing pie chart. The solutions show how to deduce the value of specific components, their fractional part, or their percentage from the given angles and total value.
2. What is the first step to solve any problem in RS Aggarwal Chapter 24 on Pie Charts?
The fundamental first step for constructing a pie chart from given data is to calculate the total value of all the components. For instance, if the data is about the monthly expenses of a family on different items, you must first find the total monthly expenditure. This sum is essential as it forms the basis for calculating the proportional share and the central angle of each individual component.
3. How do the RS Aggarwal solutions explain the construction of a pie chart in Exercise 24A?
The solutions provide a clear, step-by-step method for constructing a pie chart. The process explained is as follows:
First, calculate the sum of all values in the data set to find the total.
Next, for each individual component, calculate its central angle using the formula: (Value of the Component / Total Value) × 360°.
Then, draw a circle of a suitable radius and draw a horizontal radius to act as a baseline.
Finally, use a protractor to draw the sectors corresponding to the calculated central angles for each component, one after the other, and label each sector clearly.
4. Why is it necessary to calculate the central angle for each component before drawing a pie chart?
A pie chart represents data as proportional sectors of a circle. The total angle at the centre of a circle is 360°. Calculating the central angle for each component ensures that the entire 360° is distributed accurately among all components according to their value. This makes the size of each sector directly proportional to the quantity it represents, ensuring the chart is a correct and meaningful visual representation of the data.
5. What is the key formula used to solve problems in Exercise 24B of Chapter 24?
Exercise 24B often requires you to find the value of a component when its central angle and the total value are known. The key formula for this reverse calculation is: Value of the Component = (Central Angle of the Component / 360°) × Total Value. This formula is crucial for correctly interpreting data from existing pie charts and is frequently used to solve problems in this exercise.
6. How do the problems in this chapter help in understanding data representation for exams?
Mastering the problems in Chapter 24 is vital for building a strong foundation in Data Handling, a key unit in the Class 8 Maths syllabus. By solving these questions, you learn not just how to construct a pie chart but also how to interpret and analyse data presented visually. This is a critical skill for answering application-based questions in exams, where you might need to compare quantities or calculate percentages directly from a chart.
7. What is a common mistake students make when interpreting data from a pie chart in this chapter?
A common mistake is confusing the percentage of a component with its central angle. Students sometimes incorrectly use the angle value as the percentage. It's crucial to remember that the angle must first be used to find the component's fraction of the whole by dividing it by 360°. This fraction is then multiplied by 100 to find the actual percentage, or by the total value to find the actual quantity.











