SOLUTION: Imagine that one wire is wrapped around a basketball's "equator" and another wire is wrapped around Earth's equator. If one foot is added to the basketball's wire, it could form a

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Question 735247: Imagine that one wire is wrapped around a basketball's "equator" and another wire is wrapped around Earth's equator. If one foot is added to the basketball's wire, it could form a circle whose diameter is about 3.8 inches greater than the diameter of the basketball. If one foot is added to the Earth's wire, how much greater will it's diameter be?

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +C+ = the circumference of the Earth in feet
Let +d+ = the diameter of the Earth in feet
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Before adding 1 foot to +C+:
+C+=+pi%2Ad%5B1%5D+
+d%5B1%5D+=+C+%2F+pi+
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After adding 1 foot to +C+
+C+%2B+1+=+pi%2Ad%5B2%5D+
+d%5B2%5D+=+%28+C+%2B+1+%29+%2F+pi+
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The increase in diameter is:
+d%5B2%5D+-+d%5B1%5D+=+%28+C+%2B+1+%29+%2F+pi+-++C%2Fpi+
+d%5B2%5D+-+d%5B1%5D+=+%28+1%2Fpi%29%2A%28+C+%2B+1+-+C+%29+
+d%5B2%5D++-+d%5B1%5D+=+1%2Fpi+
+d%5B2%5D+-+d%5B1%5D+=+.31831+ ft
+d%5B2%5D+-+d%5B1%5D+=+.31831%2A12+ in
+d%5B2%5D+-+d%5B1%5D+=+3.8+ in
The diameter increases by the same amount