Two circular sectors, Sector P and Sector Q, have equal areas. Sector P has radius 8 cm and central angle θ1, while Sector Q has radius 6 cm and central angle θ2. (Use π=722 in numerical calculations.)
a. (i) Derive, in simplest form, the relation between θ1 and θ2.
b. (ii) If θ1=120∘, calculate the value of θ2.
c. (iii) For Sector P with θ1=120∘, find the length of its arc.