A piece of wire, bent in the shape of a square having 44 cm as its side, is subsequently bent to form a circle. What will be the radius of the circle?

This question was previously asked in
NTPC CBT 2 2016 Previous Paper 6 (Held On: 18 Jan 2017 Shift 3)
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  1. 108 cm
  2. 56 cm
  3. 14 cm
  4. 28 cm

Answer (Detailed Solution Below)

Option 4 : 28 cm
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RRB NTPC CBT-I Official Paper (Held On: 4 Jan 2021 Shift 1)
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Detailed Solution

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Given-

A piece of wire, bent in the shape of a square having 44 cm as its side, is subsequently bent to form a circle. 

Formula Used- 

The perimeter of a Square = 4 × Side

The perimeter of a Circle = 2πr

Calculation- 

Let the radius of the circle be r cm

According to the question-

Perimeter of Square = Perimeter of Circle

⇒ 4 × 44 = 2 × (22/7) × r

⇒ r = 28 cm

∴ The radius of the circle is 28 cm.

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