UPSC CAPF (AC) 2024 Paper I · Question 47

Question 47 of the UPSC CAPF (AC) 2024 Paper I (4 August 2024). Try it first, then open the answer and explanation.

1. CAPF 2024 · P-I · Q47 · General Mental Ability · Arithmetic

   The angle (in degrees) made by a sector having area one-sixth of the area of a semicircle is

   1. 15°
   2. 30°
   3. 45°
   4. 60°

   किसी अर्धवृत्त के क्षेत्रफल के छठवें भाग के बराबर क्षेत्रफल वाले त्रिज्यखंड द्वारा बनाया गया कोण (डिग्री में) क्या होगा?

   1. 15°
   2. 30°
   3. 45°
   4. 60°
   Show answer

   Answer: (2) 30°

   उत्तर: (2) 30°

   Area of sector = (θ/360°) × πr² must equal (1/6) × (πr²/2) = πr²/12. So θ/360° = 1/12, giving θ = 30°.

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