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The wire bent in the form of a square enclose an area of 484 Sq.cm. If the same wire is bent so as to from a circle than the area enclosed will be_________?

Correct answer: C. 616 Sq.cm

  • A. 484Sq.cm
  • B. 538 2/7 Sq.cm
  • C. 616 Sq.cm
  • D. 644 Sq.cm

Explanation

A square with area 484 cm² has side √484 cm = 22 cm, so the wire length is 4 × 22 cm = 88 cm. This becomes the circle's circumference, giving radius = 88 cm ÷ (2 × 22/7) = 14 cm and area = 22/7 × 14 cm × 14 cm = 616 cm². The likely mistake is choosing 484 cm², assuming the enclosed area remains unchanged when the shape changes.

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