A wire is looped in the form of a circle of radius 28 cm. It is re-bent into a square form. Determine the length of the side of the square.

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35 cm

40 cm

44 cm

50 cm

answer is C.

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Detailed Solution

Given a wire is looped in the form of a circle of radius 28 cm.
According to the question, the circle is re-bent into a square.

\Rightarrow

Circumference of circle = perimeter of square

\Rightarrow

2 π r = 4 × s i d e

⇒ 2 × 227 × 28 = 4 × a

⇒ 2 × 22 × 4 = 4 × a

⇒ a = 44 × 4 4

Therefore, the length of the side of the square is 44 cm.
Hence, option 3 is correct.

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