$\"\"$

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

Graph two curves in polar-coordinate plane.

Graph :

$\"\"$

Find the intersection points by equating the two curves.

$\"\"$

$\"\"$ .

$\"\"$

Area formula is $\"\"$ .

Because of the symmetry, multiply the by 4 the part of $\"\"$ from $\"\"$ to $\"\"$ .

By symmetry area of the region that lies inside the both curves :

$\"\"$ .

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

$\"\"$

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