Difficulty: Easy
Correct Answer: 250%
Explanation:
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:
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%
Discussion & Comments