Question
Download Solution PDFWhen a wire is bent in the form of a square, then the area enclosed by it is 5929 cm2. If wire is bent into the form of a circle, then what will be the area enclosed by the wire?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
Area of square = 5929 cm2
Concept:
The length of the wire stays the same, which is the perimeter of the square and also the circumference of the circle.
Solution:
⇒ Side of square = √5929 = 77 cm
⇒ Perimeter of square = 4 × 77 = 308 cm
⇒ This becomes the circumference of the circle, so, radius of circle = Circumference / (2π) = 308 / (2 × 3.14) = 49 cm
⇒ Area of circle = πr² = 3.14 × 49 × 49 = 7546 cm2
Therefore, the area enclosed by the wire when it is bent into a circle is 7546 cm2.
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