Exams › SSC CGL (Prelims) › General

Two circles have circumferences in the ratio 4 : 5. If the bigger circle has an area of 625 square units, what is the area of the smaller circle?

1. 400 sq. units
2. 300 sq. units
3. 500 sq. units
4. 450 sq. units

Correct answer: 400 sq. units

Solution

Since circumference is proportional to radius, the radii are in 4:5, so areas are in 16:25. The smaller area = 625 x (16/25) = 400 square units.

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