$\"\"$

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

Find the intersection points by equating the two curves.

$\"\"$

$\"\"$ .

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.

Find the area of the quarter of the leaf.

The required area is four times the area of the quarter of the leaf.

Area of the quarter of the leaf is $\"\"$ .

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

$\"\"$

$\"\"$ .

$\"\"$

Required area is $\"\"$ .

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

$\"\"$

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