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Two circular plates have radii in the ratio 3:5. If the smaller plate has an area of 108 cm², what is the area of the larger plate?

1. 270 cm²
2. 300 cm²
3. 250 cm²
4. 280 cm²

Correct answer: 300 cm²

Solution

The areas of circles are proportional to the squares of their radii. With radii in the ratio \(3:5\), the area ratio is \(9:25\). So the larger area is \(108 \times \frac{25}{9} = 300\) cm².

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