AAI ATC Junior Executive 2018 Shift 3 Paper

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Question : 72 of 120

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The length of the arc of the curve r = f(θ) between the points, where θ = α and θ = β , is:

$∫ _{α }^{β }⁡√{r^{2} + (\;{dr}/{dθ }) ^{2}}\:dθ \:$
$∫ _{α }^{β }⁡√{1 + (r\:sinθ ) ^{2}}\:dθ$
$∫ _{α }^{β }⁡√{1 + (\;{dr}/{dθ }) ^{2}}\:dθ$
$∫ _{α }^{β }⁡√{r + (r\;{dr}/{dθ }) ^{2}\:}\:dθ$

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