Question : When a wire is bent in the form of a square, then the area enclosed by it is 5929 cm2. If the wire is bent into the form of a circle, then what will be the area enclosed by the wire?
Option 1: 7546 cm2
Option 2: 8542 cm2
Option 3: 7632 cm2
Option 4: 6954 cm2
Correct Answer: 7546 cm 2
Solution :
Given: When a wire is bent in the form of a square, then the area enclosed by it is 5929 cm
2
.
Let the sides of the square be
Then,
⇒
Now, the length of the wire = perimeter of the square = 4
So, the circumference of the circle = 308 cm
Let the radius of the circle be
So,
⇒
⇒
So, the area of the circle
Hence, the correct answer is 7546 cm
2
.
