A wire bent in the form of a square enclose an area of 484 sq cm. If t

1.	A wire bent in the form of a square enclose an area of 484 sq cm. If the same wire is bent in the form of a circle, find the area of the circle.
Answer» Given that Area of the square formed by bending a copper wire = 484cm² We know that side of the square = s² s² = 484 s = 22cm. We know that perimeter of the square = 4 * s = 4 * 22 = 88cm. Therefore the length of the wire = 88cm. Now, Given that the same wire is bent into a form of circle. Circumference of circle = Length of wire 2πr = 88 2 * 22/7 * r = 88 44/7 * r = 88 44 * r = 88 * 7 44 * r = 616 r = 616/44 r = 14. We know that Area of circle = pir² = 22/7 * (14)² = 22 * 14 * 2 = 616cm² Therefore the area enclosed by the circle = 616cm²

A wire bent in the form of a square enclose an area of 484 sq cm. If the same wire is bent in the form of a circle, find the area of the circle.

Answer»

Given that Area of the square formed by bending a copper wire = 484cm²

We know that side of the square = s²

s² = 484

s = 22cm.

We know that perimeter of the square = 4 * s

= 4 * 22

= 88cm.

Therefore the length of the wire = 88cm.

Now,

Given that the same wire is bent into a form of circle.

Circumference of circle = Length of wire

2πr = 88

2 * 22/7 * r = 88

44/7 * r = 88

44 * r = 88 * 7

44 * r = 616

r = 616/44

r = 14.

We know that Area of circle = pir²

= 22/7 * (14)²

= 22 * 14 * 2

= 616cm²

Therefore the area enclosed by the circle = 616cm²