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The radius of the two circular fields is in the ratio 3: 5 the area of the first field is what percent less than the area of the second?

Correct answer: D. 64%

  • A. 50%
  • B. 60%
  • C. 40%
  • D. 64%

Explanation

Areas of circles are proportional to the squares of their radii, so the area ratio is 3²:5² = 9:25. The first field is less by (25 - 9)/25 × 100% = 16/25 × 100% = 64%. The likely wrong choice is 60%, which compares the radii directly instead of their squared values.

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