SUGGESTION
Pick a point in the middle of the Golf Green
and make measurements regularly from that point to the edge of
the green. The sketch above depicts 16 evenly spaced measures
around the point.
Two ways of estimating the area from these measures are the average
circle and the average sector using the formulas as follows:
This illustration uses 16 measures.
Would it matter how near the "center"
of the green the central point was taken? How?
How much precision is lost with using fewer
measures (say 8 or 4)? How much precision is gained by increasing
the number? in which formula?
Program a calculator or spreadsheet to estimate
the areas from N measurements. Can you obtain real data from
a golf green? simulated data from a model in the classroom?
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