w=7 th digit of your ID number a=w+1. A special logo will be constructed for a company. It consists of two curves such as the circle r= a
​
sin(θ) and the lemniscate r 2
= 2
a
​
sin(2θ). The region(s) that lie in the intersection of these two curves will be drawn as bold. i) Draw this logo and show the bold region(s). ii) Find the area of the bold region(s).