What is distance around the graph of r = 3 sin θ

a) 3π
b) 9π
c) 12π
d) 72π

2 answers

come on - it's just a circle of radius 3/2
You should be able to recognize that by now...
It is a circle tangent to the theta=0 axis, of diameter r=1.5
arc length= PI*d=3pi
now to integrate it use this example, just change the limits to zero to PI. https://socratic.org/questions/how-do-you-find-the-exact-length-of-the-polar-curve-r-3sin-theta-on-the-interval
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