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UPSC 2001: A circle of 1 m radius is drawn inside a square as shown in the figure given above. What is the area of the shaded portion in m²?
(a)(4 - π)
(b)1 + (π/2)
(c)(1/4) - (π/4)
(d)1 - (π/4)
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Not attemptedCorrect Answer: (d) 1 - (π/4)
The correct answer is (d) 1 - (π/4). The figure shows a circle inscribed in a square with the shaded portion being one corner of the square. The side of the square equals the diameter = 2m. Each corner's shaded area = (1/4) × (area of square - area of circle) = (1/4) × (4 - π) = 1 - π/4.
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What is the correct answer to this UPSC 2001 Science & Technology question?▼
The correct answer is option (d): 1 - (π/4). Watch the detailed video explanation in our Sherlocking Prelims course on UnlockIAS.
Which year was this Quantitative Aptitude question asked in UPSC Prelims?▼
This question was asked in UPSC CSE Prelims 2001, GS Paper 1, as Question 146. It falls under Science & Technology > Quantitative Aptitude.
What is the difficulty level of this UPSC question?▼
This question is rated "medium". It is a challenging question that demands deep subject knowledge and analytical thinking.
How many UPSC Prelims questions have been asked from Quantitative Aptitude?▼
UPSC has asked 178 questions from Quantitative Aptitude (under Science & Technology) across multiple years. Visit the topic page to see the full list and year-wise trends.