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Mathematics
Problem
Let
R
R
R
be the region that lies inside the cardioid
r
=
2
(
1
+
cos
θ
)
r = 2\bigl(1+\cos\theta\bigr)
r
=
2
(
1
+
cos
θ
)
and outside the circle
r
=
2
r = 2
r
=
2
. What is the exact area of
R
R
R
? a)
3
π
+
8
3\pi + 8
3
π
+
8
b)
π
\pi
π
c)
π
+
8
\pi + 8
π
+
8
d)
2
π
2\pi
2
π
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