When 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?
Show answer & explanation
Correct answer: A
Explanation
The correct answer is option 1 i.e. 7546 cm2.
Let the side of the square be a
a2 = 5929
⇒ a = 77
Hence the perimeter of the square = 4a = 308
This is equal to the circumference of the circle of radius r
2πr = 308
r = 49
Hence the area of the circle = πr2 = π × 49 × 49 = 7546 cm2