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The circumferences of two circular paths are in the ratio 2:7. If the smaller path has radius 8 m, what is the radius of the larger path?

1. 28 m
2. 32 m
3. 35 m
4. 40 m

Correct answer: 28 m

Solution

Since circumference \(C = 2\pi r\), the ratio of circumferences equals the ratio of radii. So if radii are in ratio 2:7 and the smaller radius is 8 m, the larger radius is \(8 \times \frac{7}{2} = 28\) m.

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