Age 14 to 16
Challenge Level
| Town | Radius | Area | Population (nearest hundred) |
|---|---|---|---|
| A | 1 | $\pi$ | 1000 |
| B | 1.7 | $2.89 \pi$ | 2900 |
| C | 4.5 | $20.25 \pi$ | 20000 |
| D | 7 | $49 \pi$ | 49000 |
| E | 2.4 | $5.76 \pi$ | 5800 |
| F | 0.7 | $0.49 \pi$ | 500 |
If the diagram represented the populations using radius rather than area, the populations would be as follows:
A 1000
B 1700
C 4500
D 7000
E 2400
F 700
Most people's estimates should match more closely to the area figures than the radius ones.
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NRICH is part of the family of activities in the Millennium Mathematics Project.
NRICH is part of the family of activities in the Millennium Mathematics Project.