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Question 11

The circumference of a circle is numerically greater than the area of the circle. Then the maximum length of the radius cannot be greater than

Solution

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For radius $$r$$, the circumference is $$2\pi r$$ and the area is $$\pi r^2$$. The condition $$2\pi r>\pi r^2$$ gives $$r<2$$. Therefore the radius cannot be greater than $$2$$.

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