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Mathematics
Problem
The curve defined implicitly by
x
2
+
y
2
=
4
y
x^{2}+y^{2}=4y
x
2
+
y
2
=
4
y
is traced for
0
≤
y
≤
4
0\le y\le 4
0
≤
y
≤
4
with
x
≥
0
x\ge 0
x
≥
0
. What is the length of this curve? a)
π
\pi
π
b)
2
π
2
2\pi\sqrt{2}
2
π
2
c)
2
π
2\pi
2
π
d)
4
π
4\pi
4
π
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