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,
=12⋅(θ2+4)3232+k=13(θ2+4)32+k
Let's assume that 0≤θ≤2π
Arc length=â«2Ď€0âšÎ¸4+4θ2â‹…dθ=92.9
