If the relative error in measuring the radius of a circular plane is α, find the relative error measuring its area.

given that

(if let r is radius)


(if let A is area of circle)


We know that the area of a circle(A)=πr2 then


dA=2πr×dr


now





we know that if there is a little approximation in variables then,




=2×a


=2a


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