$\"\"$

The curves are $\"\"$ and $\"\"$ .

Find the intersection points by equating the two curves.

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Graph two curves in polar-coordinate plane.

Graph :

$\"\"$

Observe the graph,

The area of the shaded region is the required area that inside the both the curves.

The required area is sum of the area of the curve $\"\"$ from $\"\"$ to $\"\"$ and area of the curve

$\"\"$ from $\"\"$ to $\"\"$ .

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Area formula is $\"\"$ .

$\"\"$

$\"\"$ .

Area of the region that lies inside the both curves is $\"\"$ .

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Area of the region that lies inside the both curves is $\"\"$ .