For a circle of radius 5 units, compare its area and circumference numerically. The question asks: the area of the circle is numerically what percent of its circumference? (That is, compute (area / circumference) * 100 for a circle of radius 5.)

Introduction / Context:
This question checks understanding of circle formulas and the meaning of “numerically what percent.” You are not comparing units (area is square units and circumference is units), but comparing the numerical values produced by the formulas. The required calculation is (area / circumference) * 100 for radius 5. The pi factor cancels, making the computation simple.

Given Data / Assumptions:

• Radius r = 5
• Area A = pi * r^2
• Circumference C = 2 * pi * r
• Percent asked = (A / C) * 100

Concept / Approach:
Compute A/C symbolically so pi cancels. Then substitute r = 5 and convert to percent by multiplying by 100.

Step-by-Step Solution:

Verification / Alternative check:
Since A/C simplifies to r/2 (because (pi*r^2)/(2*pi*r) = r/2), for r = 5 we get 5/2 = 2.5, which is 250%. This confirms the same result without computing pi explicitly.

Why Other Options Are Wrong:

Common Pitfalls:
Many students confuse area and circumference formulas or forget that percent means multiplying by 100. Another mistake is canceling incorrectly and ending up with 5/10 instead of 25/10. Also, some interpret “percent” as “difference percent” rather than the ratio-based definition given here.

Final Answer:
250%