Pie Chart Questions

Pie charts are visual aids that make data representation easier. They help professionals and students alike quickly understand proportions by breaking down complicated numerical figures into easily understood segments of a circle. Pie chart-based questions are frequently found in exams, whether they are competitive aptitude tests or school-level math assessments. They assess a student's aptitude for applying fundamental maths, interpreting data, and drawing insightful conclusions from images.

This manual offers a thorough explanation of pie chart problems, their formulas, and efficient solutions.

Table of Content

Definition
What Are Pie Chart Questions?
Importance of Pie Chart Questions
Formulas
10 Solved Examples
10 Practice Question
Real-Life Examples
Conclusion
FAQs on Pie Chart Questions

Definition

To show numerical proportions, a pie chart is a circular statistical graphic that has been divided into slices. The contribution of each category to the total is represented by each "slice," which is usually expressed as a percentage or degree out of 360°.

Students are asked to analyse data -find totals, percentages, or compare segments -in pie chart questions.

What Are Pie Chart Questions?

Pie chart questions require you to analyse a pie chart and make calculations using the information it displays. These could consist of:

figuring out what a segment represents.
contrasting two or more parts.
figuring out the angle or percentage for a specific data category.
analysing several pie charts to find patterns or connections.
These enquiries are frequently found in: School mathematics
Competitive exam sections on data interpretation (CAT, SSC, Bank PO, etc.)
Reports on marketing and business analysis

Importance of Pie Chart Questions

Visual Clarity: They offer a brief overview of the proportions of the data.
Analytical skills are improved by data interpretation.
Competitive advantage: Common in aptitude exams where rapid comprehension is crucial.
Practical Relevance: Used to effectively communicate data insights in government statistics, business, research, and education.

Formulas

To solve pie chart questions, the following formulas are often used:

Central Angle Formula:
Central Angle=(Category ValueTotal Value)×360∘
Percentage Formula:
Percentage=(Category ValueTotal Value)×100
Category Value from Percentage:
Value=(Percentage 100)×Total Value
Category Value from Central Angle:
Value=(Central Angle360∘)×Total Value

10 Solved Examples

Example 1:
In a pie chart representing monthly expenses of ₹40,000, the rent segment is 90°. What is the amount spent on rent?
Solution:
Value = (90/360) × 40,000 = ₹10,000

Example 2:
If the "groceries" category occupies 20% of a pie chart showing total monthly spending of ₹30,000, what is the amount spent on groceries?
Solution:
Value = (20/100) × 30,000 = ₹6,000

Example 3:
A pie chart of students in a school shows that 108° is for girls. What percentage of students are girls?
Solution:
Percentage = (108/360) × 100 = 30%

Example 4:
Total revenue = ₹1,20,000. "Online Sales" contributes 150° in the pie chart. Find revenue from online sales.
Solution:
Value = (150/360) × 1,20,000 = ₹50,000

Example 5:
If the angle for electricity bill in the chart is 45°, and the total expense is ₹60,000, find the electricity bill.
Solution:
Value = (45/360) × 60,000 = ₹7,500

Example 6:
In a pie chart, if the central angle for transport is 72°, what is the fraction of total expense?
Solution:
Fraction = 72/360 = 1/5

Example 7:
The total number of students = 900. The angle for Science stream = 108°. How many students are in Science?
Solution:
Value = (108/360) × 900 = 270 students

Example 8:
A pie chart shows annual revenue of a company = ₹10,00,000. Marketing occupies 90°, Operations 120°, and HR 60°. What is the combined contribution of Marketing and HR?
Solution:
Marketing = (90/360) × 10,00,000 = ₹2,50,000
HR = (60/360) × 10,00,000 = ₹1,66,666.67
Total = ₹2,50,000 + ₹1,66,666.67 = ₹4,16,666.67

Example 9:
A chart shows expenses. Food = 25%, Rent = 35%, Others = 40%. If total income is ₹80,000, what is the expense on Rent?
Solution:
Value = (35/100) × 80,000 = ₹28,000

Example 10:
In a pie chart, if 162° is allocated to books, and total students = 600, how many students prefer books?
Solution:
Value = (162/360) × 600 = 270 students

10 Practice Question

A pie chart shows total sales of ₹90,000. The angle for electronics is 120°. Find electronics sales.
If food makes up 60° in a chart of ₹60,000 expense, calculate the amount.
In a pie chart of 540 students, the angle for girls is 108°. How many are girls?
If the percentage of savings is 25%, and monthly income is ₹50,000, what is the savings amount?
Travel = 45° in a chart showing a budget of ₹1,00,000. Calculate travel expense.
A pie chart shows monthly time spent. If study time is 144°, what percent of the time is spent studying?
If entertainment occupies 20% in a pie chart of ₹25,000 budget, find the entertainment amount.
Health takes 30° in a 360° chart. What is the fraction of expense on health?
A company has 1200 employees. R&D gets 90° of the chart. Find the number of employees in R&D.
A school spends ₹6,00,000 yearly. Administration covers 72°. What is the expenditure on administration?
A pie chart shows a company's expenditure out of ₹90,000. If the segment for "Transport" is 60°, find the amount spent on transport.
In a pie chart representing total savings of ₹1,20,000, the angle for "Fixed Deposit" is 150°. Calculate the amount invested in Fixed Deposit.
The angle representing "Groceries" in a pie chart is 72°. If the total monthly budget is ₹36,000, what is the expense on groceries?
A pie chart divides school students into four houses equally. What is the angle for each house?
In a pie chart of a student’s day, "Sleeping" takes 120°. If the total time considered is 24 hours, how many hours are spent sleeping?

Real-Life Examples

Business Reports: To show the percentage of revenue from each product or region, companies utilize pie charts.
Budget Planning: Pie charts are frequently used in household or business budgets to show the distribution of expenses.
Marketing Surveys: Pie charts frequently display customer feedback categories such as "very satisfied," "satisfied," etc.
Academic Reports: Pie charts are used by schools to display exam score distributions or student involvement in events.
Media & Journalism: Pie charts are used in news reports to display vote shares, budgetary allotments, and poll results.

Conclusion

Pie chart questions combine visual interpretation with mathematical reasoning. They support professional analysis and daily decision-making in addition to being crucial for academic success. Understanding the underlying formulas and practicing a variety of examples are necessary to master these questions. Knowing how to effectively solve pie chart problems can give you a big advantage when working on reports, studying for tests, or analysing data.

You'll quickly discover that these questions are both engaging and scoring if you practise regularly and concentrate on comprehending angle-percentage relationships.

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Frequently Asked Questions on Pie Chart Questions

1. How to do a pie chart question?

To solve a pie chart question:

Step 1: Understand the total quantity or value represented by the chart.
Step 2: Use the central angle or percentage given to calculate specific values.
Step 3: Use formulas like

For angle-based:
Value = (Given Angle / 360) × Total
For percentage-based:
Value = (Given Percentage / 100) × Total

Step 4: Read and interpret the data carefully based on what's asked.

2. What is pie chart class 7 answer?

A pie chart is a circular chart divided into sectors, where each sector represents a part of the whole. The angle of each sector shows the proportion of that category. It is used to represent data visually in a way that's easy to understand.