Find the area of the circle if the circumference of the circle is 22 cm.

The area of a circle S is determined by the formula S = п * R ^ 2, where п = 3.14; R is the radius of the circle. The length of the circumference bounding it is determined by the formula L = 2 * п * R. Let us express from the second formula R = L / 2 * п. Substitute this value into the first formula S = п * R ^ 2 = S = п * (L / 2 * п) ^ 2 = L ^ 2/4 * п; S = п * R ^ 2 = S = п * (L / 2 * п) ^ 2 = L ^ 2/4 * п = (22) ^ 2/4 * 3.14 = 484 / 12.56 = 38, 54 cm square.
Answer: S = 38.54 cm square.