Circle comparison: For a circle of radius 5 units, the area is numerically what percent of its circumference?

Introduction / Context:Relates two basic measures of a circle: area and circumference, then converts their ratio to a percentage for a given radius.

Given Data / Assumptions:

• r = 5 (units)
• Area A = πr^2
• Circumference C = 2πr

Concept / Approach:Compute A and C, then find (A/C)*100 percent. Note that π cancels out.

Step-by-Step Solution:

Verification / Alternative check:Since A/C = r/2, for r = 5 we get 2.5 → 250%.

Why Other Options Are Wrong:150%, 350%, 450%, 200% do not match the exact ratio r/2 for r = 5.

Common Pitfalls:Forgetting to cancel π or squaring the wrong quantity when computing area vs circumference.

Final Answer:250%