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Maths-

General

Easy

Question

The radius of a circular plate is increasing at the rate of 0.01 cm/s when the radius is 12 cm. Then ,The rate at which the area increase, is

$0.24 π$ sq cm/s
$60 π$ sq cm/s
$24 π$ sq cm/s
$1.2 π$ sq cm/s

The correct answer is: $0.24 blank pi blank$ sq cm/s

The area of circular plate is $A equals pi r to the power of 2 end exponent$
$rightwards double arrow blank fraction numerator d A over denominator d t end fraction equals 2 pi r bullet fraction numerator d r over denominator d t end fraction$

$rightwards double arrow blank fraction numerator d A over denominator d t end fraction equals 2 pi open parentheses 12 close parentheses open parentheses 0.01 close parentheses equals 0.24 pi blank$ sq cm/s

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