Pie Chart Angle Calculation
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Question (English)
If a component represents 25% of the total in a pie diagram, what angle will it subtend at the centre?
- 25°
- 60°
- 90° ✓ Correct
- 120°
Explanation:
Correct Answer Explanation
25% × 3.6° = 90°.
Key Points:
- Formula: Angle = Percentage × 3.6°.
- 25% of 360° = 90°, which is a right angle or one-quarter of the circle.
- This means the component occupies one-fourth of the pie.
- Sum of all angular components must always equal 360°.
Why Other Options Are Wrong
- A. 25°: This treats percentage directly as degrees without conversion.
- B. 60°: This would correspond to about 16.67%, not 25%.
- D. 120°: This would correspond to about 33.3%, not 25%.
📚 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.
