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

Find the intersection points by equating the two curves.

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$\"\"$ .

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Graph two curves in polar-coordinate plane.

Graph :

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Observe the graph:

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

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Find the area of the quarter of the leaf.

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

area of the curve $\"\"$ from $\"\"$ to $\"\"$ .

As the region is symmetric about the line $\"\"$ .

Find the area of the region curve $\"\"$ from $\"\"$ to $\"\"$ .

Area of the region is $\"\"$ .

$\"\"$

Required area 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 $\"\"$ .