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

1) Circumference: C = 2 * pi * R.
Let R be the radius of a circle with a length of 24.8 cm; and r – from 36.5 cm.
Find R:
2 * pi * R = 24.8 cm;
R = 24.8 / (2 * pi);
R = 12.4 / pi.
Let’s calculate r:
2 * pi * r = 36.5 cm;
r = 36.5 / (2 * pi);
r = 18.25 / pi.
2) Area of a circle: S = pi * R ^ 2.
Then S (R) / S (r) = pi * R ^ 2 / (pi * r ^ 2) = R ^ 2 / r ^ 2 = (12.4) ^ 2 / (18.25) ^ 2 = 0 , 4617.
Answer: 0.4617.