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By how much should you reduce the radius of a circle with circumference of 48pi cm in order to reduce its area by 47 pi?

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 Jan 28, 2020
 #1
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Area of the circle before reduction

 

pi d = circumference   pi d = 48 pi    so   d   = 48   and radius = 24

 

pi r^2  =  pi 24^2 =  576 pi

 

 

reducit it by 47 pi = 529 pi

 

now find reduced radius    pi r^2  = 529 pi

                                              r^2 = 529             r = 23

 

 

Origianl radius was 24    reduce it by ONE to get to new radius of  23 

 Jan 28, 2020

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