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jmc

prealgebra senior

Problem

The radius of a circle is and its diameter is . What is the circumference of the circle, in terms of ? (Do not include the variable in your answer.)
Solution
Since the diameter of a circle is twice its radius, we know that , or . Subtracting from both sides gives . The circumference of a circle is times its diameter, so the circumference is .
Final answer
26\pi