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1.
The polar curve
r
=
g
(θ )
is parametrized by
x
=
g
(θ )
cos
θ,
y
=
g
(θ )
sin
θ.
Hence its arc length element is
ds
=
s
±
dx
d
θ
²
2
+
±
dy
d
θ
²
2
d
θ
=
q
(
g
0
(θ )
cos
θ

g
(θ )
sin
θ
)
2
+
(
g
0
(θ )
sin
θ
+
g
(θ )
cos
θ
)
2
d
θ
=
q
(
g
(θ )
)
2
+
(
g
0
(θ )
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 Spring '12
 OnurFen
 Arc Length

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