Multiple choice

The area of two circles are in the ratio $25 : 36$. Then the ratio of their circumference is _________.

  1. $6 : 5$
  2. $3 : 4$
  3. $4 : 3$
  4. $5 : 6$
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Ratio of areas = (r1/r2)^2 = 25/36. Ratio of radii = sqrt(25/36) = 5/6. Ratio of circumferences = 2*pi*r1 / 2*pi*r2 = r1/r2 = 5/6.

AI explanation

The area of a circle is πr^2, so if the areas are in the ratio 25 to 36, their radii must be in the ratio of their square roots, which is 5 to 6. The circumference of a circle is 2πr, meaning it is directly proportional to the radius. Therefore, the ratio of their circumferences must also be 5 to 6.

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