Pie Charts— Concepts, Formulas & Shortcuts
- The full circle is 360°, so 1% = 3.6° and 25% = 90°.
- Value of a sector = (sector percentage / 100) × total.
- All sectors must sum to 100% (or 360°) — use this to find a missing sector instantly.
- A ratio between two sectors equals the ratio of their percentages; the total is irrelevant.
- If the total changes but the percentages do not, every sector scales by the same factor.
- Two pie charts in one set usually have DIFFERENT totals — never compare their percentages directly as values.
Pie Charts Practice Questions with Answers
Attempt each question first, then open the explanation. All 18 questions below are free to read and require no signup.
Q1.A family's monthly budget of ₹36,000 is split as Food 30%, Rent 25%, Education 15%, Transport 10%, Savings 20%. The amount spent on food is:
Easy- A₹9,000
- B₹10,800
- C₹12,000
- D₹13,500
Pie Charts question 1 of 18+Show Answer & Explanation
Answer: B. ₹10,800
Explanation: 30% of 36,000 = ₹10,800.
Q2.Using the same budget, the central angle of the Rent sector is:
Easy- A72°
- B81°
- C90°
- D108°
Pie Charts question 2 of 18+Show Answer & Explanation
Answer: C. 90°
Explanation: 25% × 3.6 = 90°.
Q3.Using the same budget, the difference between the Rent and Education amounts is:
Easy- A₹2,400
- B₹3,600
- C₹4,200
- D₹5,400
Pie Charts question 3 of 18+Show Answer & Explanation
Answer: B. ₹3,600
Explanation: The gap is 25% − 15% = 10% of 36,000 = ₹3,600.
Q4.Using the same budget, the ratio of Food to Savings expenditure is:
Easy- A2 : 3
- B3 : 2
- C3 : 4
- D4 : 3
Pie Charts question 4 of 18+Show Answer & Explanation
Answer: B. 3 : 2
Explanation: 30 : 20 = 3 : 2 — the total is irrelevant for a ratio.
Q5.If the family's income rises to ₹45,000 with the same percentage split, the amount spent on Transport is:
Moderate- A₹3,600
- B₹4,000
- C₹4,500
- D₹5,000
Pie Charts question 5 of 18+Show Answer & Explanation
Answer: C. ₹4,500
Explanation: 10% of 45,000 = ₹4,500.
Q6.Using the same budget, the central angle of the Savings sector is:
Easy- A54°
- B72°
- C90°
- D108°
Pie Charts question 6 of 18+Show Answer & Explanation
Answer: B. 72°
Explanation: 20% × 3.6 = 72°.
Q7.A pie chart of 1,800 students by stream shows Science 40%, Commerce 35%, Arts 25%. The number studying Commerce is:
Easy- A450
- B540
- C630
- D720
Pie Charts question 7 of 18+Show Answer & Explanation
Answer: C. 630
Explanation: 35% of 1,800 = 630 students.
Q8.Using the student chart, the central angle for Arts is:
Easy- A72°
- B84°
- C90°
- D126°
Pie Charts question 8 of 18+Show Answer & Explanation
Answer: C. 90°
Explanation: 25% × 3.6 = 90°.
Q9.Using the student chart, how many more students take Science than Arts?
Moderate- A180
- B225
- C270
- D300
Pie Charts question 9 of 18+Show Answer & Explanation
Answer: C. 270
Explanation: The gap is 40% − 25% = 15% of 1,800 = 270 students.
Q10.If a sector of a pie chart measures 54°, the percentage it represents is:
Moderate- A10%
- B12%
- C15%
- D18%
Pie Charts question 10 of 18+Show Answer & Explanation
Answer: C. 15%
Explanation: Percentage = central angle ÷ 3.6, since 100% spans 360°. So 54/3.6 = 15%.
Q11.A pie chart of 2,400 voters shows Party A 45%, Party B 30%, Party C 25%. Votes for Party A were:
Easy- A960
- B1,080
- C1,120
- D1,200
Pie Charts question 11 of 18+Show Answer & Explanation
Answer: B. 1,080
Explanation: 45% of 2,400 = 1,080 votes.
Q12.Using the voter chart, the central angle for Party C is:
Easy- A72°
- B81°
- C90°
- D108°
Pie Charts question 12 of 18+Show Answer & Explanation
Answer: C. 90°
Explanation: 25% × 3.6 = 90°.
Q13.Using the voter chart, how many more votes did Party B get than Party C?
Moderate- A96
- B120
- C144
- D180
Pie Charts question 13 of 18+Show Answer & Explanation
Answer: B. 120
Explanation: The gap is 30% − 25% = 5% of 2,400 = 120 votes.
Q14.Using the voter chart, the ratio of Party A's votes to Party B's is:
Easy- A2 : 3
- B3 : 2
- C4 : 3
- D5 : 3
Pie Charts question 14 of 18+Show Answer & Explanation
Answer: B. 3 : 2
Explanation: 45 : 30 = 3 : 2.
Q15.A pie chart shows sectors of 90°, 120° and 150°. The largest sector represents what percentage?
Moderate- A33.3%
- B38.9%
- C41.7%
- D45%
Pie Charts question 15 of 18+Show Answer & Explanation
Answer: C. 41.7%
Explanation: 150/3.6 = 41.7%.
Q16.If three sectors of a pie chart are 20%, 35% and 15%, the fourth sector's central angle is:
Moderate- A90°
- B100°
- C108°
- D120°
Pie Charts question 16 of 18+Show Answer & Explanation
Answer: C. 108°
Explanation: Fourth sector = 100 − 70 = 30%, and 30 × 3.6 = 108°.
Q17.In a pie chart, the sum of all central angles is always:
Easy- A180°
- B270°
- C360°
- DIt varies
Pie Charts question 17 of 18+Show Answer & Explanation
Answer: C. 360°
Explanation: A pie chart is a full circle, so its sectors always total 360°.
Q18.A sector representing 12.5% of a pie chart has a central angle of:
Moderate- A36°
- B45°
- C54°
- D60°
Pie Charts question 18 of 18+Show Answer & Explanation
Answer: B. 45°
Explanation: 12.5 × 3.6 = 45°.
Pie Charts — Frequently Asked Questions
How do I convert a percentage into a central angle?+
Multiply by 3.6, since 100% corresponds to 360°. A 25% sector spans 90° and a 20% sector spans 72°.
Can I compare percentages across two different pie charts?+
Not directly. Percentages are relative to each chart's own total, so you must convert both to absolute values before comparing.
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