The circumference is 56.52 m. Find the area of the circle bounded by this circle.

For a circle and a circle, there are long-known formulas: L = 2π * R, S = π * R². In our case, L = 56.52 m. S -? We will express R from the first formula and substitute in the second:

L = 2π * R
R = L / 2π

We substitute:

S = π * R² = π * (L / 2π) ² = (π * L²) / (4 * π²) = L² / 4 * π = 56.52² / (4 * 3.14) = 56.52 * 56 .52 / 12.56 = 4.5 * 56.52 = 254.34 m2

You can decide by actions:

R = L / 2π = 56.52: 2: 3.14 = 9 m
S = π * R² = 3.14 * 9 * 9 = 254.34 m²

Answer: 254.34 m² is the area of this circle.