Question 9

The radius of circle is so increased that its circumference increased by 5%. The area of the circle then increases by

Solution

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We know that Circumference is dependent linearly on radius 
so if circumference is increased by 5% , we can conclude radius is increased by 5%
Now Area varies directly with square of radius 
Now if r is changed to 1.05 r 
so r^2 will change to (1.05r)(1.05r) = 1.1025 r^2
So we can conclude area will change by 10.25%

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