Question

O is the center of both circles containing arcs AB and CD

Answer 1

Answer:

Step-by-step explanation:

You need to solve the area sector of the bigger circle. Since we now the length of sector is 270, we can set up an equation.  

Length of sector DC = 2$\pi$r

270 = 2$\pi$(8+OA)                     *(8+OA is the raidus of the bigger circle/sector)*

270/2$\pi$ = 8 + OA  (division)

135/$\pi$ -8 = OA

135/$\pi$ -8 = OB (because OA and OB are the raidus of the same circle, so they are congruent)

I hope this helps you! Please correct me if you see a miscalculation <3<3