Top 10.664

X = CL = 8

Another Approach

Find Radius R of the Circle in Between

Yellow Area = 144 Square Units

Angle BAC = 30

Baseline BC = 10

By Means of Law of Cosines

Orange = 38.5846837101

X = 12. d = 20

Blue Area = 10.8253175473

Blue Area = 27.7128129211

BCD = 150°