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The radius of a circular field and the length of a square field are the same. Find the ratio of their perimeters. (take π = 22/7)

This question was previously asked in
UGC NET Official Paper 1: Held On 17 June 2023 Shift 2
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  1. 2 ∶ 1
  2. 1 ∶ 2
  3. 4 ∶ 7
  4. 11∶ 7

Answer (Detailed Solution Below)

Option 4 : 11∶ 7
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UGC NET Paper 1: Held on 21st August 2024 Shift 1
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Detailed Solution

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Concept used:

• Perimeter of a circle = 2πr, where r = radius

• Perimeter of a square = 4 × side

Calculation:

According to the question, r = side of the square, then

2πr : 4 × r 

⇒ 2 × 22/7 : 4

⇒ 11 : 7

∴ The correct answer is 11 : 7

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