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If the radius of a circle is 2.1 cm, then the approximate area of the circle is

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$0.125 π sq . cm$

$4.4 π sq . cm$

$0.4 π sq . cm$

$3.6 π sq . cm$

answer is B.

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Detailed Solution

$f (r) = π r^{2} \Rightarrow f' (r) = 2 πr r = 2, \partial r = 0.1 f (r + \partial r) = f (r) + f' (r) \partial r Area = π {(2)}^{2} + 2 π (2) (0.1) = 4 π + 0.4 π = 4.4 π$

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