Exams › SSC CGL (Prelims) › General

The radii of two circular plates are in the ratio 3 : 5. If the area of the smaller plate is 108 cm-squared, find the area of the larger plate.

1. 270 cm-squared
2. 300 cm-squared
3. 250 cm-squared
4. 280 cm-squared

Correct answer: 300 cm-squared

Solution

Since areas scale as the square of the radius, the area ratio is 9 : 25. The smaller area 108 corresponds to 9 parts, so each part is 12, and 25 parts give 300 cm-squared.

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