Percentage to Angle Conversion

Question

To convert percentage into angular component for a pie diagram, each percentage is multiplied by:

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Question (English)

To convert percentage into angular component for a pie diagram, each percentage is multiplied by:

  1. 1.8°
  2. 2.6°
  3. 3.6° ✓ Correct
  4. 4.2°
Explanation:
Correct Answer Explanation

Each percentage figure of every component is multiplied by 3.6° to convert it into an angular component.

Key Points:
  • Total degrees in a circle = 360°.
  • Total percentage = 100%.
  • Each 1% = 360° ÷ 100 = 3.6°.
  • Example: 60.3% becomes 60.3 × 3.6° = 217° (angular component for Non-workers in India).
  • This formula is essential for constructing pie charts in exams.
Why Other Options Are Wrong
  • A. 1.8°: Incorrect calculation.
  • B. 2.6°: No mathematical basis for this value.
  • D. 4.2°: This would give total exceeding 360°.

📚 About this Topic — CH-4: Presentation of Data

This multiple choice question is from CH-4: Presentation of Data, NCERT Books, Statistics for Economics. It has 4 options with a detailed explanation of the correct answer. Practice more MCQs from CH-4: Presentation of Data to strengthen your preparation.

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