Exams › SSC CGL (Prelims) › General

Two concentric circles have circumferences in the ratio 4:7. If the smaller circle has area 80 m², what is the approximate area of the larger circle?

1. 245 m²
2. 280 m²
3. 308 m²
4. 336 m²

Correct answer: 245 m²

Solution

Since circumference is proportional to radius, the radii are in the ratio 4:7. Therefore, the areas are in the ratio 16:49. If the smaller area is 80 m², the larger area is \(80\times\frac{49}{16}=245\) m².

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