The three dynamic figures below contain
plans for building a new circle-shaped town with a radius
of 1 kilometer. The colored circles inside are the
building zones; the rest is intended to be a
green area where no building will be allowed.
The planners want the percentage of green area to be as
large as possible.
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For each plan:
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Construct a function describing the dependence of the percentage of the built-up
area on circle sizes.
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What should the circle sizes be for the built-up area to be
as small as possible?
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Check whether the conclusions you reached by investigating the functions
are consistent with the measurements that appear in the figures.
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Figure 1 |
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Figure 2 |
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Figure 3 |
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