The arc length of 2/9 of the circle is 12.56 cm find the area of the circle bounded by this circle

1. Since the length of 2/9 of the circle is known, we find what is equal to 1/9 of the circle, dividing the length of the arc by 2:
12.56 cm / 2 = 6.28 cm.
2. Multiply the resulting value by 9 parts, we get the length of the entire circle:
6.28 * 9 = 56.52 cm.
3. Find the radius by the formula r = C / 2n, where r is the radius, C is the circumference, n = 3.14:
r = 56.52 / 2 * 3.14 = 9 cm.
4. Find the area of a circle by the formula S = nr ^ 2, where S is the area of a circle with a radius r:
S = 3.14 * 9 * 9 = 3.14 * 81 = 254.34 cm2.
Answer: the area of a circle is 254.34 cm2.