The length of the arc, which is 2/3 of the circle, is 12.56 cm. Find the area of the circle bounded by this circle.

Find the circumference as an integer by its fraction:

12.56 / (2/3) = 12.56 * 3/2 = 37.68 / 2 = 18.84 (cm).

Find the radius of the circle by the formula R = L / (2П), where L is the circumference, П = 3.14.

R = 18.84 / (2 * 3.14) = 18.84 / 6.28 = 3 (cm).

Let us find the area of a circle bounded by this circle, according to the formula S = ПR ^.

S = 3.14 * 3 ^ = 3.14 * 9 = 28.26 (cm).

Answer: 28.26 cm.