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Mathematics — Standard (041) — CBSE Class 10 board question

Q1. [1] § 11.2 Summary
If a large circular pizza is divided into 5 equal sectors, then the central angle of each sector will be :
  1. A $60^\circ$
  2. B $90^\circ$
  3. C $45^\circ$
  4. D $72^\circ$
Previously asked in CBSE board exam
2025 30/2/1 Q12
Generated by claude-sonnet-4-6 · 2026-06-15 10:36 · grounding rag
Model Answer

Option D: $72^\circ$

The full angle at the centre is $360^\circ$. Dividing equally among 5 sectors: $360^\circ \div 5 = 72^\circ$.

Explanation

The total angle around a point is always $360°$. For n equal sectors, each central angle = $360° \div n$. Here, $n = 5$, giving $72°$. Students often confuse this with common angles like $60°$ or $90°$, so remember to divide $360°$ by the actual number of sectors.

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Previous-year CBSE Grade 10 board exam questions, organised by subject and chapter, each with a model answer — free to read and print.