Answer: rc length=â«âšr2+(drdθ)2â‹…dθ for a equation r=θ2, drdθ=2θ â´ Arc length=â«âšÎ¸4+4θ2â‹…dθ by factoring out θ and rewriting a bit, =â«Î¸âšÎ¸2+4â‹…dθ=12â«(θ2+4)12â‹…2θdθ by General Power Rule, =12â‹…(θ2+4)3232+k=13(θ2+4)32+k Let's assume that 0≤θ≤2Ď€ Arc length=â«2Ď€0âšÎ¸4+4θ2â‹…dθ=92.9