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

Segment OC and OD are perpendicular

The length of arc CD is equal to arc AEB

AC = 8

Find x

O is the center of both circles containing arcs AB and CD Segment OC and OD are perpendicular The length of arc CD is equal to arc AEB AC 8 Find x class=

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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[tex]\pi[/tex]r

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

270/2[tex]\pi[/tex] = 8 + OA  (division)

135/[tex]\pi[/tex] -8 = OA

135/[tex]\pi[/tex] -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

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