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If the circumference of a circle increases from 4πto8π4\pi to 8\pi, what change occurs in its area?

AIt doubles

BIt triples

CIt quadruples

DIt is halved

Answer:

C. It quadruples

Read Explanation:

When the circumference is doubled, it means radius of circle is doubled,

as circumference =2πr=2\pi{r}

Since, area =πr2=\pi{r^2}

,it will quadrupled.


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