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the circumference of the smaller circle is 20% of the circumference of the larger circle. find the circumference of the larger circle. round your answer to the nearest tenth.

Circumference of the smaller circle, using , is approximately equal to 18.85 (I used the high floating point precision approximation of pi my calculator has in memory, then rounded to 2 decimal points.)

Using the formula , which in English says "the smaller circle's circumference is equal to 20% of the larger circle's", we can substitute the known value S: and solve for L: .

So the larger circle has a circumference approximately equal to 92.5 units.