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Mathematics
Mathematics
Problem
Let
S
S
S
be the region that lies inside both curves
r
=
4
cos
θ
r=4\cos\theta
r
=
4
cos
θ
and
r
=
4
sin
θ
r=4\sin\theta
r
=
4
sin
θ
. What is the exact area of
S
S
S
? a)
2
π
+
4
2\pi+4
2
π
+
4
b)
2
π
−
4
2\pi-4
2
π
−
4
c)
4
π
−
8
4\pi-8
4
π
−
8
d)
π
−
2
\pi-2
π
−
2
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