A student is experimenting with a wire. When he bent it to form a square, it enclosed an area of 841 sq. cm. He later bent it to form a circle. Determine the area it will enclose in that case.

The area of the square is 841 square cm, so its side length is the square root of 841, which is 29 cm. The perimeter of the square becomes the circumference of the circle, meaning two times pi times the radius equals 4 times 29, so the radius is 116 divided by two pi. The area of the circle is pi times 116 divided by two pi squared, which calculates to approximately 1068.86 square cm.

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