# The lengths of the two circles are equal to 24.8 cm and 36.5 cm. Find the ratio of the areas of the

**The lengths of the two circles are equal to 24.8 cm and 36.5 cm. Find the ratio of the areas of the circles bounded by these circles.**

1. The circumference is calculated by the formula l = 2 * π * r (where l is the circumference, and r is its radius);

2. Calculate the radius of the first circle:

2 * π * r1 = 24.8;

r1 = 24.8 / 2 * π;

r1 = 12.4 / π;

3. Calculate the radius of the second circle:

2 * π * r2 = 36.5;

r2 = 36.5 / 2 * π;

r2 = 18.25 / π;

4. Calculate the area of the circles bounded by these circles by the formula S = π * r ^ 2:

S1 = π * (12.4 / π) ^ 2;

S1 = π * 153.76 / π ^ 2;

S1 = 153.76 / π;

S2 = π * (18.25 / π) ^ 2;

S2 = π * 333.0625 / π ^ 2;

S2 = 333.0625 / π;

5. Find the ratio of the areas of these circles:

S2 / S1 = 333.0625 / π / 153.76 / π = 333.0625 / 153.76 ≈ 2.17;

Answer: S2 / S1 ≈ 2.17.