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jmc

prealgebra intermediate

Problem

Find the ratio of the circumference of a circle with radius 1.125 to the circumference of a circle with diameter 2.25. Express your answer in the form where and are relatively prime positive integers.
Solution
If a circle has diameter , then its radius must be half of that which is . Thus, both circles have radius , so their circumferences must be equal and in a ratio of .
Final answer
1:1