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Question

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


Options:
A .  It is halved
B .  It doubles
C .  It triples
D .  It quadruples.
Answer: Option D

`2piR_1 = 4 pi and 2pi R_2 = 8 pi`

`rArr R_1 = 2 and R_2 = 4`

`rArr`  Original area = `(4 pi xx 2^2) = 16 pi`

Increased area = `( 4 pi xx 4^2 ) =  64 pi`

Thus , the area  quadruples .



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