Multiple choice

The area of a circle of radius $5$ is numerically what percent of its circumference?

  1. $200$
  2. $225$
  3. $240$
  4. $250$
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D Correct answer
Explanation

Area = pi * r^2 = 25 * pi. Circumference = 2 * pi * r = 10 * pi. The ratio is (25 * pi) / (10 * pi) = 2.5. As a percentage, this is 250%.

AI explanation

Using the area formula pi times r squared with radius 5 gives an area of 25 pi. Using the circumference formula 2 times pi times r gives a circumference of 10 pi. The area is 25 pi over 10 pi times 100, which is 250 percent.