Answer:
AC = 3 + 2√15
Explanation:
Call the center of the circle O.
(OB)² = 2² + 3²
(OB)² = 13
OD = OB
(OD)² + (DC)² = (CO)²
13 + 51 = (CO)²
(CO)² = 64
(CX)² + 2² = (CO)²
(CX)² = 64 - 4
(CX)² = 60
CX = √60 = 2√15
AX = BX = 3
AC = AX + CX
AC = 3 + 2√15