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The radius of a circular plate is increased by 8%. What will be the approximate percentage increase in its area?

1. 8%
2. 15%
3. 16.64%
4. 17.28%

Correct answer: 16.64%

Solution

The area of a circle is proportional to the square of its radius. If the radius increases by 8%, the new area becomes $(1.08)^2 = 1.1664$ times the original area. So the percentage increase is 16.64%.

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