Wiggly Paths
The
Problem:
In the picture below,
each section of a path is semi-circular and of width 2 metres. The total
distance travelled, from left to right, is 33 metres.
What is the total
area of the path ?
Now find the total
area of this second path, composed of quarter-circular sections, but travelling
a total distance of 24 metres from left to right.
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