A wire is looped into a circle of radius 28 cm. It is re-bent into square form. Length of side of square = ______ cm. 

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NPCIL Assistant Grade-1 (HR/F&A/C&MM/Steno Grade-I) Official Paper-II (Held In: 2022)
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  1. 42
  2. 44
  3. 46
  4. 48

Answer (Detailed Solution Below)

Option 2 : 44
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NPCIL Assistant Grade 1 Computer Knowledge Subject Test - 01
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Detailed Solution

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Given:

A wire is looped into a circle of radius 28 cm. It is re-bent into square form.

Radius of the circle (r) = 28 cm

Formula used:

Circumference of the circle = 2πr

Perimeter of the square = 4 × side of the square

Calculation:

Circumference of the circle = 2 × π × 28

⇒ Circumference = 2 × (22/7) × 28

⇒ Circumference = 176 cm

Perimeter of the square = 176 cm

4 × side of the square = 176 cm

⇒ side of the square = 176 / 4 cm

⇒ side of the square = 44 cm

∴ The correct answer is option (2) (44 cm).

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