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What will be the percentage increase in the area of a circle if the perimeter of the circle grows by 10% ?

A. 20% B. 21% C. 36% D. 40% E. 44%

"The perimeter of the circle grows by 10%" is another way of saying that the radius of the circle will grow by 10%. The new area will be \(\pi(1.1r)^2 = \pi*1.21*r^2\). Thus, the increase in area will equal 21%.