The area of a circle which passes through the four vertices of a rectangle is $78.5$ $m^2$. One side of a rectangle is $6\ cm$. Find the other side or the rectangle ($\pi = 3.14$).

Using the area formula Area = pi x radius^2 with pi as 3.14, we have 78.5 = 3.14 x r^2, giving r^2 = 25 and a circle radius of 5 cm, which equals half the diagonal of the rectangle. The diagonal is therefore 10 cm, and using the Pythagorean theorem with the given side of 6 cm, the unknown side is the square root of 100 - 36, which is 8 cm. The result is 8 cm.

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